What is the Least Common Multiple of 94020 and 94040?

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 94020 and 94040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94020 and 94040, than apply into the LCM equation.

GCF(94020,94040) = 20
LCM(94020,94040) = ( 94020 × 94040) / 20
LCM(94020,94040) = 8841640800 / 20
LCM(94020,94040) = 442082040

Least Common Multiple (LCM) of 94020 and 94040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94020 and 94040. First we will calculate the prime factors of 94020 and 94040.

Prime Factorization of 94020

Prime Factorization of 94040

Now multiplying the highest exponent prime factors to calculate the LCM of 94020 and 94040.

LCM(94020,94040) = 2³ × 3¹ × 5¹ × 1567¹ × 2351¹
LCM(94020,94040) = 442082040