What is the Least Common Multiple of 94574 and 94580?

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 94574 and 94580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94574 and 94580, than apply into the LCM equation.

GCF(94574,94580) = 2
LCM(94574,94580) = ( 94574 × 94580) / 2
LCM(94574,94580) = 8944808920 / 2
LCM(94574,94580) = 4472404460

Least Common Multiple (LCM) of 94574 and 94580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94574 and 94580. First we will calculate the prime factors of 94574 and 94580.

Prime Factorization of 94574

Prime Factorization of 94580

Now multiplying the highest exponent prime factors to calculate the LCM of 94574 and 94580.

LCM(94574,94580) = 2² × 47287¹ × 5¹ × 4729¹
LCM(94574,94580) = 4472404460