What is the Least Common Multiple of 94432 and 94443?

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 94443 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 94443, than apply into the LCM equation.

GCF(94432,94443) = 1
LCM(94432,94443) = ( 94432 × 94443) / 1
LCM(94432,94443) = 8918441376 / 1
LCM(94432,94443) = 8918441376

Least Common Multiple (LCM) of 94432 and 94443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94432 and 94443. First we will calculate the prime factors of 94432 and 94443.

Prime Factorization of 94432

Prime Factorization of 94443

Now multiplying the highest exponent prime factors to calculate the LCM of 94432 and 94443.

LCM(94432,94443) = 2⁵ × 13¹ × 227¹ × 3¹ × 31481¹
LCM(94432,94443) = 8918441376