Given Numbers are 61, 69

We can find the LCM of 61, 69 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 61 and 69

Multiples of 61 =61,122,183,244,305,366,427,488,549,610,671,732,793,854,915,976,1037,

Multiples of 69 =69,138,207,276,345,414,483,552,621,690,759,828,897,966,1035,1104,1173,

Now, get the least common multiple of 61, 69 which is 4209

So, the LCM of 61, 69 is 4209.

One method for determining the LCM of 61 and 69 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 61's prime factorization:

Prime factors of 61 are 61.

61 = 61¹

And this is 69's prime factorization:

Prime factors of 69 are 3,23.

69 = 3¹×23¹

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:61, 3,23

3¹×23¹×61¹ = 4209

This shows that the LCM of 61 and 69 is 4209.

The first step in determining the Least Common Multiple of 61 and 69 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 61 and 69:

Lets look at the first ten multiples of these numbers, 61 and 69:

61,122,183,244,305,366,427,488,549,1037 are the first ten multiples of 61.

69,138,207,276,345,414,483,552,621,1173 are the first ten multiples of 69.

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 61 and 69, for example, are 732, 1037, and 1104. 4209 is the least common multiple since it is the smallest.

61 and 69 have an LCM of 4209.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61 and 69, than apply into the LCM equation.

GCF(61,69) = 1
LCM(61,69) = ( 61 × 69) / 1
LCM(61,69) = 4209 / 1
LCM(61,69) = 4209

1. What is the LCM of 61 and 69?

The LCM of 61 and 69 is 4209.

2. How to find the lowest common multiple of 61 and 69?

To find the lowest common multiple of 61 and 69, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4209.

3. What are the Factors of 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

4. What are the Factors of 69?

Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.

Answer:

Least Common Multiple of 61 and 69 = 4209

Step 1: Find the prime factorization of 61

61 = 61

Step 2: Find the prime factorization of 69

69 = 3 x 23

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

LCM = 4209 = 3 x 23 x 61

Step 4: Therefore, the least common multiple of 61 and 69 is 4209.