What is the Least Common Multiple of 94452 and 94464?

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 94452 and 94464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94452 and 94464, than apply into the LCM equation.

GCF(94452,94464) = 12
LCM(94452,94464) = ( 94452 × 94464) / 12
LCM(94452,94464) = 8922313728 / 12
LCM(94452,94464) = 743526144

Least Common Multiple (LCM) of 94452 and 94464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94452 and 94464. First we will calculate the prime factors of 94452 and 94464.

Prime Factorization of 94452

Prime Factorization of 94464

Now multiplying the highest exponent prime factors to calculate the LCM of 94452 and 94464.

LCM(94452,94464) = 2⁸ × 3² × 17¹ × 463¹ × 41¹
LCM(94452,94464) = 743526144