What is the Least Common Multiple of 79128 and 79144?

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 79128 and 79144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79128 and 79144, than apply into the LCM equation.

GCF(79128,79144) = 8
LCM(79128,79144) = ( 79128 × 79144) / 8
LCM(79128,79144) = 6262506432 / 8
LCM(79128,79144) = 782813304

Least Common Multiple (LCM) of 79128 and 79144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79128 and 79144. First we will calculate the prime factors of 79128 and 79144.

Prime Factorization of 79128

Prime Factorization of 79144

Now multiplying the highest exponent prime factors to calculate the LCM of 79128 and 79144.

LCM(79128,79144) = 2³ × 3² × 7¹ × 157¹ × 13¹ × 761¹
LCM(79128,79144) = 782813304