Least Common Multiple of 6932 and 6938

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 6938 the smallest integer that is 24047108 that is divisible by both numbers.

Least Common Multiple (LCM) of 6932 and 6938 is 24047108.

LCM(6932,6938) = 24047108

LCM of 6932 and 6938

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

LCM of:
and

Least Common Multiple of 6932 and 6938

LCM of 6932 and 6938 is 24047108

Least common multiple can be found by multiplying the highest exponent prime factors of 6932 and 6938. First we will calculate the prime factors of 6932 and 6938.

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 6938


2 6938
3469 3469
1

Prime factors of 6938 are 2,3469. Prime factorization of 6938 in exponential form is:

6938 = 21×34691

Now multiplying the highest exponent prime factors to calculate the LCM of 6932 and 6938.

LCM(6932,6938) = 22×17331×34691
LCM(6932,6938) = 24047108

Factors of 6932

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

1, 2, 4, 1733, 3466, 6932

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1, 2, 3469, 6938

Least Common Multiple of 6932 and 6938 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 6938, than apply into the LCM equation.

GCF(6932,6938) = 2
LCM(6932,6938) = ( 6932 × 6938) / 2
LCM(6932,6938) = 48094216 / 2
LCM(6932,6938) = 24047108

Properties of LCM 6932 and 6938

(i) The LCM of 6938 and 6932 is associative

LCM of 6932 and 6938 = LCM of 6938 and 6932

Related Least Common Multiples of 6932

Related Least Common Multiples of 6938

Frequently Asked Questions on LCM of 6932 and 6938

1. What is the LCM of 6932 and 6938?

Answer: LCM of 6932 and 6938 is 24047108.

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 6938?

Answer: Factors of 6938 are 1, 2, 3469, 6938. There are 4 integers that are factors of 6938. The greatest factor of 6938 is 6938.

4. How to Find the LCM of 6932 and 6938?

Answer:

Least Common Multiple of 6932 and 6938 = 24047108

Step 1: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

Step 2: Find the prime factorization of 6938

6938 = 2 x 3469

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

LCM = 24047108 = 2 x 2 x 1733 x 3469

Step 4: Therefore, the least common multiple of 6932 and 6938 is 24047108.