Least Common Multiple of 6908 and 6916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6908 and 6916 the smallest integer that is 11943932 that is divisible by both numbers.

Least Common Multiple (LCM) of 6908 and 6916 is 11943932.

LCM(6908,6916) = 11943932

LCM of 6908 and 6916

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

LCM of:
and

Least Common Multiple of 6908 and 6916

LCM of 6908 and 6916 is 11943932

Least common multiple can be found by multiplying the highest exponent prime factors of 6908 and 6916. First we will calculate the prime factors of 6908 and 6916.

Prime Factorization of 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2, 11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6908 and 6916.

LCM(6908,6916) = 22×71×111×131×191×1571
LCM(6908,6916) = 11943932

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

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

Least Common Multiple of 6908 and 6916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6908 and 6916, than apply into the LCM equation.

GCF(6908,6916) = 4
LCM(6908,6916) = ( 6908 × 6916) / 4
LCM(6908,6916) = 47775728 / 4
LCM(6908,6916) = 11943932

Properties of LCM 6908 and 6916

(i) The LCM of 6916 and 6908 is associative

LCM of 6908 and 6916 = LCM of 6916 and 6908

Related Least Common Multiples of 6908

Related Least Common Multiples of 6916

Frequently Asked Questions on LCM of 6908 and 6916

1. What is the LCM of 6908 and 6916?

Answer: LCM of 6908 and 6916 is 11943932.

2. What are the Factors of 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

3. 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.

4. How to Find the LCM of 6908 and 6916?

Answer:

Least Common Multiple of 6908 and 6916 = 11943932

Step 1: Find the prime factorization of 6908

6908 = 2 x 2 x 11 x 157

Step 2: Find the prime factorization of 6916

6916 = 2 x 2 x 7 x 13 x 19

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

LCM = 11943932 = 2 x 2 x 7 x 11 x 13 x 19 x 157

Step 4: Therefore, the least common multiple of 6908 and 6916 is 11943932.