What is the Least Common Multiple of 56988 and 57006?

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 56988 and 57006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56988 and 57006, than apply into the LCM equation.

GCF(56988,57006) = 18
LCM(56988,57006) = ( 56988 × 57006) / 18
LCM(56988,57006) = 3248657928 / 18
LCM(56988,57006) = 180480996

Least Common Multiple (LCM) of 56988 and 57006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56988 and 57006. First we will calculate the prime factors of 56988 and 57006.

Prime Factorization of 56988

Prime Factorization of 57006

Now multiplying the highest exponent prime factors to calculate the LCM of 56988 and 57006.

LCM(56988,57006) = 2² × 3² × 1583¹ × 3167¹
LCM(56988,57006) = 180480996