What is the Least Common Multiple of 79224 and 79230?

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 79224 and 79230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79224 and 79230, than apply into the LCM equation.

GCF(79224,79230) = 6
LCM(79224,79230) = ( 79224 × 79230) / 6
LCM(79224,79230) = 6276917520 / 6
LCM(79224,79230) = 1046152920

Least Common Multiple (LCM) of 79224 and 79230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79224 and 79230. First we will calculate the prime factors of 79224 and 79230.

Prime Factorization of 79224

Prime Factorization of 79230

Now multiplying the highest exponent prime factors to calculate the LCM of 79224 and 79230.

LCM(79224,79230) = 2³ × 3¹ × 3301¹ × 5¹ × 19¹ × 139¹
LCM(79224,79230) = 1046152920