What is the Least Common Multiple of 57516 and 57536?

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 57516 and 57536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57516 and 57536, than apply into the LCM equation.

GCF(57516,57536) = 4
LCM(57516,57536) = ( 57516 × 57536) / 4
LCM(57516,57536) = 3309240576 / 4
LCM(57516,57536) = 827310144

Least Common Multiple (LCM) of 57516 and 57536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57516 and 57536. First we will calculate the prime factors of 57516 and 57536.

Prime Factorization of 57516

Prime Factorization of 57536

Now multiplying the highest exponent prime factors to calculate the LCM of 57516 and 57536.

LCM(57516,57536) = 2⁶ × 3¹ × 4793¹ × 29¹ × 31¹
LCM(57516,57536) = 827310144