What is the Least Common Multiple of 57688 and 57696?

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 57688 and 57696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57688 and 57696, than apply into the LCM equation.

GCF(57688,57696) = 8
LCM(57688,57696) = ( 57688 × 57696) / 8
LCM(57688,57696) = 3328366848 / 8
LCM(57688,57696) = 416045856

Least Common Multiple (LCM) of 57688 and 57696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57688 and 57696. First we will calculate the prime factors of 57688 and 57696.

Prime Factorization of 57688

Prime Factorization of 57696

Now multiplying the highest exponent prime factors to calculate the LCM of 57688 and 57696.

LCM(57688,57696) = 2⁵ × 7211¹ × 3¹ × 601¹
LCM(57688,57696) = 416045856