What is the Least Common Multiple of 57696 and 57700?

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 57696 and 57700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57696 and 57700, than apply into the LCM equation.

GCF(57696,57700) = 4
LCM(57696,57700) = ( 57696 × 57700) / 4
LCM(57696,57700) = 3329059200 / 4
LCM(57696,57700) = 832264800

Least Common Multiple (LCM) of 57696 and 57700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57696 and 57700. First we will calculate the prime factors of 57696 and 57700.

Prime Factorization of 57696

Prime Factorization of 57700

Now multiplying the highest exponent prime factors to calculate the LCM of 57696 and 57700.

LCM(57696,57700) = 2⁵ × 3¹ × 601¹ × 5² × 577¹
LCM(57696,57700) = 832264800