What is the Least Common Multiple of 87288 and 87297?

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 87288 and 87297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87288 and 87297, than apply into the LCM equation.

GCF(87288,87297) = 3
LCM(87288,87297) = ( 87288 × 87297) / 3
LCM(87288,87297) = 7619980536 / 3
LCM(87288,87297) = 2539993512

Least Common Multiple (LCM) of 87288 and 87297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87288 and 87297. First we will calculate the prime factors of 87288 and 87297.

Prime Factorization of 87288

Prime Factorization of 87297

Now multiplying the highest exponent prime factors to calculate the LCM of 87288 and 87297.

LCM(87288,87297) = 2³ × 3¹ × 3637¹ × 7¹ × 4157¹
LCM(87288,87297) = 2539993512