GCF and LCM Calculator Logo

What is the Least Common Multiple of 6916 and 6927?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6916 and 6927 is 47907132.

LCM(6916,6927) = 47907132

LCM Calculator and
and

Least Common Multiple of 6916 and 6927 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 6927, than apply into the LCM equation.

GCF(6916,6927) = 1
LCM(6916,6927) = ( 6916 × 6927) / 1
LCM(6916,6927) = 47907132 / 1
LCM(6916,6927) = 47907132

Least Common Multiple (LCM) of 6916 and 6927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6927. First we will calculate the prime factors of 6916 and 6927.

Prime Factorization of 6916

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 6927

Prime factors of 6927 are 3, 2309. Prime factorization of 6927 in exponential form is:

6927 = 31 × 23091

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6927.

LCM(6916,6927) = 22 × 71 × 131 × 191 × 31 × 23091
LCM(6916,6927) = 47907132