What is the Least Common Multiple of 92436 and 92454?

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 92454 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 92454, than apply into the LCM equation.

GCF(92436,92454) = 6
LCM(92436,92454) = ( 92436 × 92454) / 6
LCM(92436,92454) = 8546077944 / 6
LCM(92436,92454) = 1424346324

Least Common Multiple (LCM) of 92436 and 92454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92436 and 92454. First we will calculate the prime factors of 92436 and 92454.

Prime Factorization of 92436

Prime Factorization of 92454

Now multiplying the highest exponent prime factors to calculate the LCM of 92436 and 92454.

LCM(92436,92454) = 2² × 3¹ × 7703¹ × 19¹ × 811¹
LCM(92436,92454) = 1424346324