What is the Least Common Multiple of 87284 and 87288?

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 87284 and 87288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87284 and 87288, than apply into the LCM equation.

GCF(87284,87288) = 4
LCM(87284,87288) = ( 87284 × 87288) / 4
LCM(87284,87288) = 7618845792 / 4
LCM(87284,87288) = 1904711448

Least Common Multiple (LCM) of 87284 and 87288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87284 and 87288. First we will calculate the prime factors of 87284 and 87288.

Prime Factorization of 87284

Prime Factorization of 87288

Now multiplying the highest exponent prime factors to calculate the LCM of 87284 and 87288.

LCM(87284,87288) = 2³ × 21821¹ × 3¹ × 3637¹
LCM(87284,87288) = 1904711448