What is the Least Common Multiple of 57498 and 57504?

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 57498 and 57504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57498 and 57504, than apply into the LCM equation.

GCF(57498,57504) = 6
LCM(57498,57504) = ( 57498 × 57504) / 6
LCM(57498,57504) = 3306364992 / 6
LCM(57498,57504) = 551060832

Least Common Multiple (LCM) of 57498 and 57504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57498 and 57504. First we will calculate the prime factors of 57498 and 57504.

Prime Factorization of 57498

Prime Factorization of 57504

Now multiplying the highest exponent prime factors to calculate the LCM of 57498 and 57504.

LCM(57498,57504) = 2⁵ × 3¹ × 7¹ × 37² × 599¹
LCM(57498,57504) = 551060832