What is the Least Common Multiple of 87498 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 87498 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 87498 and 87504, than apply into the LCM equation.

GCF(87498,87504) = 6
LCM(87498,87504) = ( 87498 × 87504) / 6
LCM(87498,87504) = 7656424992 / 6
LCM(87498,87504) = 1276070832

Least Common Multiple (LCM) of 87498 and 87504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87498 and 87504. First we will calculate the prime factors of 87498 and 87504.

Prime Factorization of 87498

Prime Factorization of 87504

Now multiplying the highest exponent prime factors to calculate the LCM of 87498 and 87504.

LCM(87498,87504) = 2⁴ × 3² × 4861¹ × 1823¹
LCM(87498,87504) = 1276070832