What is the Least Common Multiple of 94432 and 94452?

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 94432 and 94452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94432 and 94452, than apply into the LCM equation.

GCF(94432,94452) = 4
LCM(94432,94452) = ( 94432 × 94452) / 4
LCM(94432,94452) = 8919291264 / 4
LCM(94432,94452) = 2229822816

Least Common Multiple (LCM) of 94432 and 94452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94432 and 94452. First we will calculate the prime factors of 94432 and 94452.

Prime Factorization of 94432

Prime Factorization of 94452

Now multiplying the highest exponent prime factors to calculate the LCM of 94432 and 94452.

LCM(94432,94452) = 2⁵ × 13¹ × 227¹ × 3¹ × 17¹ × 463¹
LCM(94432,94452) = 2229822816