Least Common Multiple of 6916 and 6921

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 6921 the smallest integer that is 47865636 that is divisible by both numbers.

Least Common Multiple (LCM) of 6916 and 6921 is 47865636.

LCM(6916,6921) = 47865636

LCM of 6916 and 6921

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

LCM of:
and

Least Common Multiple of 6916 and 6921

LCM of 6916 and 6921 is 47865636

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6921. First we will calculate the prime factors of 6916 and 6921.

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 6921


3 6921
3 2307
769 769
1

Prime factors of 6921 are 3,769. Prime factorization of 6921 in exponential form is:

6921 = 32×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6921.

LCM(6916,6921) = 22×32×71×131×191×7691
LCM(6916,6921) = 47865636

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 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1, 3, 9, 769, 2307, 6921

Least Common Multiple of 6916 and 6921 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 6921, than apply into the LCM equation.

GCF(6916,6921) = 1
LCM(6916,6921) = ( 6916 × 6921) / 1
LCM(6916,6921) = 47865636 / 1
LCM(6916,6921) = 47865636

Properties of LCM 6916 and 6921

(i) The LCM of 6921 and 6916 is associative

LCM of 6916 and 6921 = LCM of 6921 and 6916

Related Least Common Multiples of 6916

Related Least Common Multiples of 6921

Frequently Asked Questions on LCM of 6916 and 6921

1. What is the LCM of 6916 and 6921?

Answer: LCM of 6916 and 6921 is 47865636.

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 6921?

Answer: Factors of 6921 are 1, 3, 9, 769, 2307, 6921. There are 6 integers that are factors of 6921. The greatest factor of 6921 is 6921.

4. How to Find the LCM of 6916 and 6921?

Answer:

Least Common Multiple of 6916 and 6921 = 47865636

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 6921

6921 = 3 x 3 x 769

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

LCM = 47865636 = 2 x 2 x 3 x 3 x 7 x 13 x 19 x 769

Step 4: Therefore, the least common multiple of 6916 and 6921 is 47865636.