How to Find the LCM of 148 and 156?

LCM of 148 and 156

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

It is easy to find the LCM of 148 and 156 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 5772 as output. Here you can check the answer for Find the LCM of 148 and 156.

What is LCM of 148 and 156

Given Numbers are 148, 156

We can find the LCM of 148, 156 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 148 and 156

Multiples of 148 =148,296,444,592,740,888,1036,1184,1332,1480,1628,1776,1924,2072,2220,2368,2516,

Multiples of 156 =156,312,468,624,780,936,1092,1248,1404,1560,1716,1872,2028,2184,2340,2496,2652,

Now, get the least common multiple of 148, 156 which is 5772

So, the LCM of 148, 156 is 5772.

Least Common Multiple (LCM) of 148 and 156 with the help of Prime Factorisation

One method for determining the LCM of 148 and 156 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 148's prime factorization:

2	148
2	74
37	37
	1

Prime factors of 148 are 2,37.

148 = 2²×37¹

And this is 156's prime factorization:

2	156
2	78
3	39
13	13
	1

Prime factors of 156 are 2, 3,13.

156 = 2²×3¹×13¹

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: 2,37, 3,13

2²×3¹×13¹×37¹ = 5772

This shows that the LCM of 148 and 156 is 5772.

How to Calculate the LCM of 148 and 156 Using Common Multiples

The first step in determining the Least Common Multiple of 148 and 156 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 148 and 156:

Lets look at the first ten multiples of these numbers, 148 and 156:

148,296,444,592,740,888,1036,1184,1332,2516 are the first ten multiples of 148.

156,312,468,624,780,936,1092,1248,1404,2652 are the first ten multiples of 156.

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 148 and 156, for example, are 1776, 2516, and 2496. 5772 is the least common multiple since it is the smallest.

148 and 156 have an LCM of 5772.

Least Common Multiple of 148 and 156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 148 and 156, than apply into the LCM equation.

GCF(148,156) = 4
LCM(148,156) = ( 148 × 156) / 4
LCM(148,156) = 23088 / 4
LCM(148,156) = 5772

Related Least Common Multiples of 148

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 148 and 156

1. What is the LCM of 148 and 156?

The LCM of 148 and 156 is 5772.

2. How to find the lowest common multiple of 148 and 156?

To find the lowest common multiple of 148 and 156, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5772.

3. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

4. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.