What is the Least Common Multiple of 79128 and 79138?

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 79138 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 79138, than apply into the LCM equation.

GCF(79128,79138) = 2
LCM(79128,79138) = ( 79128 × 79138) / 2
LCM(79128,79138) = 6262031664 / 2
LCM(79128,79138) = 3131015832

Least Common Multiple (LCM) of 79128 and 79138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79128 and 79138. First we will calculate the prime factors of 79128 and 79138.

Prime Factorization of 79128

Prime Factorization of 79138

Now multiplying the highest exponent prime factors to calculate the LCM of 79128 and 79138.

LCM(79128,79138) = 2³ × 3² × 7¹ × 157¹ × 39569¹
LCM(79128,79138) = 3131015832