Least Common Multiple of 6924 and 6932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6924 and 6932 the smallest integer that is 11999292 that is divisible by both numbers.

Least Common Multiple (LCM) of 6924 and 6932 is 11999292.

LCM(6924,6932) = 11999292

LCM of 6924 and 6932

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

LCM of:
and

Least Common Multiple of 6924 and 6932

LCM of 6924 and 6932 is 11999292

Least common multiple can be found by multiplying the highest exponent prime factors of 6924 and 6932. First we will calculate the prime factors of 6924 and 6932.

Prime Factorization of 6924


2 6924
2 3462
3 1731
577 577
1

Prime factors of 6924 are 2, 3,577. Prime factorization of 6924 in exponential form is:

6924 = 22×31×5771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6924 and 6932.

LCM(6924,6932) = 22×31×5771×17331
LCM(6924,6932) = 11999292

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924

Factors of 6932

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

1, 2, 4, 1733, 3466, 6932

Least Common Multiple of 6924 and 6932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6924 and 6932, than apply into the LCM equation.

GCF(6924,6932) = 4
LCM(6924,6932) = ( 6924 × 6932) / 4
LCM(6924,6932) = 47997168 / 4
LCM(6924,6932) = 11999292

Properties of LCM 6924 and 6932

(i) The LCM of 6932 and 6924 is associative

LCM of 6924 and 6932 = LCM of 6932 and 6924

Related Least Common Multiples of 6924

Related Least Common Multiples of 6932

Frequently Asked Questions on LCM of 6924 and 6932

1. What is the LCM of 6924 and 6932?

Answer: LCM of 6924 and 6932 is 11999292.

2. What are the Factors of 6924?

Answer: Factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924. There are 12 integers that are factors of 6924. The greatest factor of 6924 is 6924.

3. 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.

4. How to Find the LCM of 6924 and 6932?

Answer:

Least Common Multiple of 6924 and 6932 = 11999292

Step 1: Find the prime factorization of 6924

6924 = 2 x 2 x 3 x 577

Step 2: Find the prime factorization of 6932

6932 = 2 x 2 x 1733

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

LCM = 11999292 = 2 x 2 x 3 x 577 x 1733

Step 4: Therefore, the least common multiple of 6924 and 6932 is 11999292.