LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 26 and 33

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


It is easy to find the LCM of 26 and 33 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 858 as output. Here you can check the answer for Find the LCM of 26 and 33.

 

LCM of:
and

What is LCM of 26 and 33

Given Numbers are 26, 33

We can find the LCM of 26, 33 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 26 and 33

Multiples of 26 =26,52,78,104,130,156,182,208,234,260,286,312,338,364,390,416,442,

Multiples of 33 =33,66,99,132,165,198,231,264,297,330,363,396,429,462,495,528,561,

Now, get the least common multiple of 26, 33 which is 858

So, the LCM of 26, 33 is 858.

Least Common Multiple (LCM) of 26 and 33 with the help of Prime Factorisation

One method for determining the LCM of 26 and 33 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 26's prime factorization:


2 26
13 13
1

Prime factors of 26 are 2,13.

26 = 21×131

And this is 33's prime factorization:


3 33
11 11
1

Prime factors of 33 are 3,11.

33 = 31×111

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,13, 3,11

.

21×31×111×131 = 858

This shows that the LCM of 26 and 33 is 858.

How to Calculate the LCM of 26 and 33 Using Common Multiples

The first step in determining the Least Common Multiple of 26 and 33 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 26 and 33:

Lets look at the first ten multiples of these numbers, 26 and 33:

26,52,78,104,130,156,182,208,234,442 are the first ten multiples of 26.

33,66,99,132,165,198,231,264,297,561 are the first ten multiples of 33.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 26 and 33, for example, are 312, 442, and 528. 858 is the least common multiple since it is the smallest.

26 and 33 have an LCM of 858.

Least Common Multiple of 26 and 33 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26 and 33, than apply into the LCM equation.

GCF(26,33) = 1
LCM(26,33) = ( 26 × 33) / 1
LCM(26,33) = 858 / 1
LCM(26,33) = 858

Frequently Asked Questions on LCM of 26 and 33

1. What is the LCM of 26 and 33?

The LCM of 26 and 33 is 858.

2. How to find the lowest common multiple of 26 and 33?

To find the lowest common multiple of 26 and 33, we have to get the multip;es of both numbers and identify the least common multiple in them which is 858.

3. What are the Factors of 26?

Answer: Factors of 26 are 1, 2, 13, 26. There are 4 integers that are factors of 26. The greatest factor of 26 is 26.

4. What are the Factors of 33?

Answer: Factors of 33 are 1, 3, 11, 33. There are 4 integers that are factors of 33. The greatest factor of 33 is 33.

5. How to Find the LCM of 26 and 33?

Answer:

Least Common Multiple of 26 and 33 = 858

Step 1: Find the prime factorization of 26

26 = 2 x 13

Step 2: Find the prime factorization of 33

33 = 3 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 858 = 2 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 26 and 33 is 858.