What is the Least Common Multiple of 87960 and 87966?

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 87960 and 87966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87960 and 87966, than apply into the LCM equation.

GCF(87960,87966) = 6
LCM(87960,87966) = ( 87960 × 87966) / 6
LCM(87960,87966) = 7737489360 / 6
LCM(87960,87966) = 1289581560

Least Common Multiple (LCM) of 87960 and 87966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87960 and 87966. First we will calculate the prime factors of 87960 and 87966.

Prime Factorization of 87960

Prime Factorization of 87966

Now multiplying the highest exponent prime factors to calculate the LCM of 87960 and 87966.

LCM(87960,87966) = 2³ × 3⁵ × 5¹ × 733¹ × 181¹
LCM(87960,87966) = 1289581560