What is the Least Common Multiple of 6906 and 6921?

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 of 6906 and 6921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6906 and 6921, than apply into the LCM equation.

GCF(6906,6921) = 3
LCM(6906,6921) = ( 6906 × 6921) / 3
LCM(6906,6921) = 47796426 / 3
LCM(6906,6921) = 15932142

Least Common Multiple (LCM) of 6906 and 6921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6906 and 6921. First we will calculate the prime factors of 6906 and 6921.

Prime Factorization of 6906

Prime Factorization of 6921

Now multiplying the highest exponent prime factors to calculate the LCM of 6906 and 6921.

LCM(6906,6921) = 2¹ × 3² × 1151¹ × 769¹
LCM(6906,6921) = 15932142