Least Common Multiple of 6911 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 6911 and 6916 the smallest integer that is 47796476 that is divisible by both numbers.

Least Common Multiple (LCM) of 6911 and 6916 is 47796476.

LCM(6911,6916) = 47796476

LCM of 6911 and 6916

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

LCM of:
and

Least Common Multiple of 6911 and 6916

LCM of 6911 and 6916 is 47796476

Least common multiple can be found by multiplying the highest exponent prime factors of 6911 and 6916. First we will calculate the prime factors of 6911 and 6916.

Prime Factorization of 6911


6911 6911
1

Prime factors of 6911 are 6911. Prime factorization of 6911 in exponential form is:

6911 = 69111

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 6911 and 6916.

LCM(6911,6916) = 22×71×131×191×69111
LCM(6911,6916) = 47796476

Factors of 6911

List of positive integer factors of 6911 that divides 6911 without a remainder.

1, 6911

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 6911 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 6911 and 6916, than apply into the LCM equation.

GCF(6911,6916) = 1
LCM(6911,6916) = ( 6911 × 6916) / 1
LCM(6911,6916) = 47796476 / 1
LCM(6911,6916) = 47796476

Properties of LCM 6911 and 6916

(i) The LCM of 6916 and 6911 is associative

LCM of 6911 and 6916 = LCM of 6916 and 6911

Related Least Common Multiples of 6911

Related Least Common Multiples of 6916

Frequently Asked Questions on LCM of 6911 and 6916

1. What is the LCM of 6911 and 6916?

Answer: LCM of 6911 and 6916 is 47796476.

2. What are the Factors of 6911?

Answer: Factors of 6911 are 1, 6911. There are 2 integers that are factors of 6911. The greatest factor of 6911 is 6911.

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 6911 and 6916?

Answer:

Least Common Multiple of 6911 and 6916 = 47796476

Step 1: Find the prime factorization of 6911

6911 = 6911

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 = 47796476 = 2 x 2 x 7 x 13 x 19 x 6911

Step 4: Therefore, the least common multiple of 6911 and 6916 is 47796476.