What is the Least Common Multiple of 87492 and 87504?

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 87492 and 87504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87492 and 87504, than apply into the LCM equation.

GCF(87492,87504) = 12
LCM(87492,87504) = ( 87492 × 87504) / 12
LCM(87492,87504) = 7655899968 / 12
LCM(87492,87504) = 637991664

Least Common Multiple (LCM) of 87492 and 87504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87492 and 87504. First we will calculate the prime factors of 87492 and 87504.

Prime Factorization of 87492

Prime Factorization of 87504

Now multiplying the highest exponent prime factors to calculate the LCM of 87492 and 87504.

LCM(87492,87504) = 2⁴ × 3¹ × 23¹ × 317¹ × 1823¹
LCM(87492,87504) = 637991664