What is the Least Common Multiple of 89385 and 89400?

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 89385 and 89400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89385 and 89400, than apply into the LCM equation.

GCF(89385,89400) = 15
LCM(89385,89400) = ( 89385 × 89400) / 15
LCM(89385,89400) = 7991019000 / 15
LCM(89385,89400) = 532734600

Least Common Multiple (LCM) of 89385 and 89400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89385 and 89400. First we will calculate the prime factors of 89385 and 89400.

Prime Factorization of 89385

Prime Factorization of 89400

Now multiplying the highest exponent prime factors to calculate the LCM of 89385 and 89400.

LCM(89385,89400) = 3¹ × 5² × 59¹ × 101¹ × 2³ × 149¹
LCM(89385,89400) = 532734600