What is the Least Common Multiple of 78942 and 78952?

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 78942 and 78952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78942 and 78952, than apply into the LCM equation.

GCF(78942,78952) = 2
LCM(78942,78952) = ( 78942 × 78952) / 2
LCM(78942,78952) = 6232628784 / 2
LCM(78942,78952) = 3116314392

Least Common Multiple (LCM) of 78942 and 78952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78942 and 78952. First we will calculate the prime factors of 78942 and 78952.

Prime Factorization of 78942

Prime Factorization of 78952

Now multiplying the highest exponent prime factors to calculate the LCM of 78942 and 78952.

LCM(78942,78952) = 2³ × 3¹ × 59¹ × 223¹ × 71¹ × 139¹
LCM(78942,78952) = 3116314392