Least Common Multiple of 6916 and 6924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6916 and 6924 the smallest integer that is 11971596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6916 and 6924 is 11971596.

LCM(6916,6924) = 11971596

LCM of 6916 and 6924

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

LCM of:
and

Least Common Multiple of 6916 and 6924

LCM of 6916 and 6924 is 11971596

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6924. First we will calculate the prime factors of 6916 and 6924.

Prime Factorization of 6916


2 6916
2 3458
7 1729
13 247
19 19
1

Prime factors of 6916 are 2, 7, 13,19. Prime factorization of 6916 in exponential form is:

6916 = 22×71×131×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6924.

LCM(6916,6924) = 22×31×71×131×191×5771
LCM(6916,6924) = 11971596

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916

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

Least Common Multiple of 6916 and 6924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6916 and 6924, than apply into the LCM equation.

GCF(6916,6924) = 4
LCM(6916,6924) = ( 6916 × 6924) / 4
LCM(6916,6924) = 47886384 / 4
LCM(6916,6924) = 11971596

Properties of LCM 6916 and 6924

(i) The LCM of 6924 and 6916 is associative

LCM of 6916 and 6924 = LCM of 6924 and 6916

Related Least Common Multiples of 6916

Related Least Common Multiples of 6924

Frequently Asked Questions on LCM of 6916 and 6924

1. What is the LCM of 6916 and 6924?

Answer: LCM of 6916 and 6924 is 11971596.

2. What are the Factors of 6916?

Answer: Factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916. There are 24 integers that are factors of 6916. The greatest factor of 6916 is 6916.

3. 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.

4. How to Find the LCM of 6916 and 6924?

Answer:

Least Common Multiple of 6916 and 6924 = 11971596

Step 1: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

Step 2: Find the prime factorization of 6924

6924 = 2 x 2 x 3 x 577

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

LCM = 11971596 = 2 x 2 x 3 x 7 x 13 x 19 x 577

Step 4: Therefore, the least common multiple of 6916 and 6924 is 11971596.