Least Common Multiple of 6932 and 6936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6932 and 6936 the smallest integer that is 12020088 that is divisible by both numbers.

Least Common Multiple (LCM) of 6932 and 6936 is 12020088.

LCM(6932,6936) = 12020088

LCM of 6932 and 6936

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6932 and 6936

LCM of 6932 and 6936 is 12020088

Least common multiple can be found by multiplying the highest exponent prime factors of 6932 and 6936. First we will calculate the prime factors of 6932 and 6936.

Prime Factorization of 6932


2 6932
2 3466
1733 1733
1

Prime factors of 6932 are 2,1733. Prime factorization of 6932 in exponential form is:

6932 = 22×17331

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2, 3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 6932 and 6936.

LCM(6932,6936) = 23×31×172×17331
LCM(6932,6936) = 12020088

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1, 2, 4, 1733, 3466, 6932

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936

Least Common Multiple of 6932 and 6936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6932 and 6936, than apply into the LCM equation.

GCF(6932,6936) = 4
LCM(6932,6936) = ( 6932 × 6936) / 4
LCM(6932,6936) = 48080352 / 4
LCM(6932,6936) = 12020088

Properties of LCM 6932 and 6936

(i) The LCM of 6936 and 6932 is associative

LCM of 6932 and 6936 = LCM of 6936 and 6932

Related Least Common Multiples of 6932

Related Least Common Multiples of 6936

Frequently Asked Questions on LCM of 6932 and 6936

1. What is the LCM of 6932 and 6936?

Answer: LCM of 6932 and 6936 is 12020088.

2. What are the Factors of 6932?

Answer: Factors of 6932 are 1, 2, 4, 1733, 3466, 6932. There are 6 integers that are factors of 6932. The greatest factor of 6932 is 6932.

3. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

4. How to Find the LCM of 6932 and 6936?

Answer:

Least Common Multiple of 6932 and 6936 = 12020088

Step 1: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

Step 2: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

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

LCM = 12020088 = 2 x 2 x 2 x 3 x 17 x 17 x 1733

Step 4: Therefore, the least common multiple of 6932 and 6936 is 12020088.