Least Common Multiple of 6916 and 6920

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 6920 the smallest integer that is 11964680 that is divisible by both numbers.

Least Common Multiple (LCM) of 6916 and 6920 is 11964680.

LCM(6916,6920) = 11964680

LCM of 6916 and 6920

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

LCM of:
and

Least Common Multiple of 6916 and 6920

LCM of 6916 and 6920 is 11964680

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6920. First we will calculate the prime factors of 6916 and 6920.

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 6920


2 6920
2 3460
2 1730
5 865
173 173
1

Prime factors of 6920 are 2, 5,173. Prime factorization of 6920 in exponential form is:

6920 = 23×51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6920.

LCM(6916,6920) = 23×51×71×131×191×1731
LCM(6916,6920) = 11964680

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 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920

Least Common Multiple of 6916 and 6920 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 6920, than apply into the LCM equation.

GCF(6916,6920) = 4
LCM(6916,6920) = ( 6916 × 6920) / 4
LCM(6916,6920) = 47858720 / 4
LCM(6916,6920) = 11964680

Properties of LCM 6916 and 6920

(i) The LCM of 6920 and 6916 is associative

LCM of 6916 and 6920 = LCM of 6920 and 6916

Related Least Common Multiples of 6916

Related Least Common Multiples of 6920

Frequently Asked Questions on LCM of 6916 and 6920

1. What is the LCM of 6916 and 6920?

Answer: LCM of 6916 and 6920 is 11964680.

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 6920?

Answer: Factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920. There are 16 integers that are factors of 6920. The greatest factor of 6920 is 6920.

4. How to Find the LCM of 6916 and 6920?

Answer:

Least Common Multiple of 6916 and 6920 = 11964680

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 6920

6920 = 2 x 2 x 2 x 5 x 173

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

LCM = 11964680 = 2 x 2 x 2 x 5 x 7 x 13 x 19 x 173

Step 4: Therefore, the least common multiple of 6916 and 6920 is 11964680.