What is the Least Common Multiple of 87564 and 87579?

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 87564 and 87579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87564 and 87579, than apply into the LCM equation.

GCF(87564,87579) = 3
LCM(87564,87579) = ( 87564 × 87579) / 3
LCM(87564,87579) = 7668767556 / 3
LCM(87564,87579) = 2556255852

Least Common Multiple (LCM) of 87564 and 87579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87564 and 87579. First we will calculate the prime factors of 87564 and 87579.

Prime Factorization of 87564

Prime Factorization of 87579

Now multiplying the highest exponent prime factors to calculate the LCM of 87564 and 87579.

LCM(87564,87579) = 2² × 3² × 7297¹ × 37¹ × 263¹
LCM(87564,87579) = 2556255852