What is the Least Common Multiple of 78928 and 78942?

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 78928 and 78942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78928 and 78942, than apply into the LCM equation.

GCF(78928,78942) = 2
LCM(78928,78942) = ( 78928 × 78942) / 2
LCM(78928,78942) = 6230734176 / 2
LCM(78928,78942) = 3115367088

Least Common Multiple (LCM) of 78928 and 78942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78928 and 78942. First we will calculate the prime factors of 78928 and 78942.

Prime Factorization of 78928

Prime Factorization of 78942

Now multiplying the highest exponent prime factors to calculate the LCM of 78928 and 78942.

LCM(78928,78942) = 2⁴ × 4933¹ × 3¹ × 59¹ × 223¹
LCM(78928,78942) = 3115367088