What is the Least Common Multiple of 92472 and 92476?

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 92472 and 92476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92472 and 92476, than apply into the LCM equation.

GCF(92472,92476) = 4
LCM(92472,92476) = ( 92472 × 92476) / 4
LCM(92472,92476) = 8551440672 / 4
LCM(92472,92476) = 2137860168

Least Common Multiple (LCM) of 92472 and 92476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92472 and 92476. First we will calculate the prime factors of 92472 and 92476.

Prime Factorization of 92472

Prime Factorization of 92476

Now multiplying the highest exponent prime factors to calculate the LCM of 92472 and 92476.

LCM(92472,92476) = 2³ × 3¹ × 3853¹ × 61¹ × 379¹
LCM(92472,92476) = 2137860168