What is the Least Common Multiple of 57504 and 57516?

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 57504 and 57516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57504 and 57516, than apply into the LCM equation.

GCF(57504,57516) = 12
LCM(57504,57516) = ( 57504 × 57516) / 12
LCM(57504,57516) = 3307400064 / 12
LCM(57504,57516) = 275616672

Least Common Multiple (LCM) of 57504 and 57516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57504 and 57516. First we will calculate the prime factors of 57504 and 57516.

Prime Factorization of 57504

Prime Factorization of 57516

Now multiplying the highest exponent prime factors to calculate the LCM of 57504 and 57516.

LCM(57504,57516) = 2⁵ × 3¹ × 599¹ × 4793¹
LCM(57504,57516) = 275616672