What is the Least Common Multiple of 57657 and 57663?

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 57657 and 57663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57657 and 57663, than apply into the LCM equation.

GCF(57657,57663) = 3
LCM(57657,57663) = ( 57657 × 57663) / 3
LCM(57657,57663) = 3324675591 / 3
LCM(57657,57663) = 1108225197

Least Common Multiple (LCM) of 57657 and 57663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57657 and 57663. First we will calculate the prime factors of 57657 and 57663.

Prime Factorization of 57657

Prime Factorization of 57663

Now multiplying the highest exponent prime factors to calculate the LCM of 57657 and 57663.

LCM(57657,57663) = 3² × 19219¹ × 43¹ × 149¹
LCM(57657,57663) = 1108225197