What is the Least Common Multiple of 87288 and 87300?

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 87300 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 87300, than apply into the LCM equation.

GCF(87288,87300) = 12
LCM(87288,87300) = ( 87288 × 87300) / 12
LCM(87288,87300) = 7620242400 / 12
LCM(87288,87300) = 635020200

Least Common Multiple (LCM) of 87288 and 87300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87288 and 87300. First we will calculate the prime factors of 87288 and 87300.

Prime Factorization of 87288

Prime Factorization of 87300

Now multiplying the highest exponent prime factors to calculate the LCM of 87288 and 87300.

LCM(87288,87300) = 2³ × 3² × 3637¹ × 5² × 97¹
LCM(87288,87300) = 635020200