Least Common Multiple of 6910 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 6910 and 6916 the smallest integer that is 23894780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6910 and 6916 is 23894780.

LCM(6910,6916) = 23894780

LCM of 6910 and 6916

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

LCM of:
and

Least Common Multiple of 6910 and 6916

LCM of 6910 and 6916 is 23894780

Least common multiple can be found by multiplying the highest exponent prime factors of 6910 and 6916. First we will calculate the prime factors of 6910 and 6916.

Prime Factorization of 6910


2 6910
5 3455
691 691
1

Prime factors of 6910 are 2, 5,691. Prime factorization of 6910 in exponential form is:

6910 = 21×51×6911

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 6910 and 6916.

LCM(6910,6916) = 22×51×71×131×191×6911
LCM(6910,6916) = 23894780

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1, 2, 5, 10, 691, 1382, 3455, 6910

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 6910 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 6910 and 6916, than apply into the LCM equation.

GCF(6910,6916) = 2
LCM(6910,6916) = ( 6910 × 6916) / 2
LCM(6910,6916) = 47789560 / 2
LCM(6910,6916) = 23894780

Properties of LCM 6910 and 6916

(i) The LCM of 6916 and 6910 is associative

LCM of 6910 and 6916 = LCM of 6916 and 6910

Related Least Common Multiples of 6910

Related Least Common Multiples of 6916

Frequently Asked Questions on LCM of 6910 and 6916

1. What is the LCM of 6910 and 6916?

Answer: LCM of 6910 and 6916 is 23894780.

2. What are the Factors of 6910?

Answer: Factors of 6910 are 1, 2, 5, 10, 691, 1382, 3455, 6910. There are 8 integers that are factors of 6910. The greatest factor of 6910 is 6910.

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 6910 and 6916?

Answer:

Least Common Multiple of 6910 and 6916 = 23894780

Step 1: Find the prime factorization of 6910

6910 = 2 x 5 x 691

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 = 23894780 = 2 x 2 x 5 x 7 x 13 x 19 x 691

Step 4: Therefore, the least common multiple of 6910 and 6916 is 23894780.