What is the Least Common Multiple of 79096 and 79114?

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 79096 and 79114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79096 and 79114, than apply into the LCM equation.

GCF(79096,79114) = 2
LCM(79096,79114) = ( 79096 × 79114) / 2
LCM(79096,79114) = 6257600944 / 2
LCM(79096,79114) = 3128800472

Least Common Multiple (LCM) of 79096 and 79114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79096 and 79114. First we will calculate the prime factors of 79096 and 79114.

Prime Factorization of 79096

Prime Factorization of 79114

Now multiplying the highest exponent prime factors to calculate the LCM of 79096 and 79114.

LCM(79096,79114) = 2³ × 9887¹ × 7¹ × 5651¹
LCM(79096,79114) = 3128800472