What is the Least Common Multiple of 57672 and 57684?

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 57672 and 57684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57672 and 57684, than apply into the LCM equation.

GCF(57672,57684) = 12
LCM(57672,57684) = ( 57672 × 57684) / 12
LCM(57672,57684) = 3326751648 / 12
LCM(57672,57684) = 277229304

Least Common Multiple (LCM) of 57672 and 57684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57672 and 57684. First we will calculate the prime factors of 57672 and 57684.

Prime Factorization of 57672

Prime Factorization of 57684

Now multiplying the highest exponent prime factors to calculate the LCM of 57672 and 57684.

LCM(57672,57684) = 2³ × 3⁴ × 89¹ × 11¹ × 19¹ × 23¹
LCM(57672,57684) = 277229304