What is the Least Common Multiple of 77139 and 77144?

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 77139 and 77144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77139 and 77144, than apply into the LCM equation.

GCF(77139,77144) = 1
LCM(77139,77144) = ( 77139 × 77144) / 1
LCM(77139,77144) = 5950811016 / 1
LCM(77139,77144) = 5950811016

Least Common Multiple (LCM) of 77139 and 77144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77139 and 77144. First we will calculate the prime factors of 77139 and 77144.

Prime Factorization of 77139

Prime Factorization of 77144

Now multiplying the highest exponent prime factors to calculate the LCM of 77139 and 77144.

LCM(77139,77144) = 3³ × 2857¹ × 2³ × 9643¹
LCM(77139,77144) = 5950811016