What is the Least Common Multiple of 87546 and 87564?

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 87546 and 87564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87546 and 87564, than apply into the LCM equation.

GCF(87546,87564) = 6
LCM(87546,87564) = ( 87546 × 87564) / 6
LCM(87546,87564) = 7665877944 / 6
LCM(87546,87564) = 1277646324

Least Common Multiple (LCM) of 87546 and 87564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87546 and 87564. First we will calculate the prime factors of 87546 and 87564.

Prime Factorization of 87546

Prime Factorization of 87564

Now multiplying the highest exponent prime factors to calculate the LCM of 87546 and 87564.

LCM(87546,87564) = 2² × 3¹ × 14591¹ × 7297¹
LCM(87546,87564) = 1277646324