What is the Least Common Multiple of 54906 and 54921?

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 54906 and 54921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54906 and 54921, than apply into the LCM equation.

GCF(54906,54921) = 3
LCM(54906,54921) = ( 54906 × 54921) / 3
LCM(54906,54921) = 3015492426 / 3
LCM(54906,54921) = 1005164142

Least Common Multiple (LCM) of 54906 and 54921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54906 and 54921. First we will calculate the prime factors of 54906 and 54921.

Prime Factorization of 54906

Prime Factorization of 54921

Now multiplying the highest exponent prime factors to calculate the LCM of 54906 and 54921.

LCM(54906,54921) = 2¹ × 3¹ × 9151¹ × 18307¹
LCM(54906,54921) = 1005164142