What is the Least Common Multiple of 92436 and 92456?

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 92436 and 92456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92436 and 92456, than apply into the LCM equation.

GCF(92436,92456) = 4
LCM(92436,92456) = ( 92436 × 92456) / 4
LCM(92436,92456) = 8546262816 / 4
LCM(92436,92456) = 2136565704

Least Common Multiple (LCM) of 92436 and 92456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92436 and 92456. First we will calculate the prime factors of 92436 and 92456.

Prime Factorization of 92436

Prime Factorization of 92456

Now multiplying the highest exponent prime factors to calculate the LCM of 92436 and 92456.

LCM(92436,92456) = 2³ × 3¹ × 7703¹ × 7¹ × 13¹ × 127¹
LCM(92436,92456) = 2136565704