What is the Least Common Multiple of 94432 and 94446?

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 94446 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 94446, than apply into the LCM equation.

GCF(94432,94446) = 2
LCM(94432,94446) = ( 94432 × 94446) / 2
LCM(94432,94446) = 8918724672 / 2
LCM(94432,94446) = 4459362336

Least Common Multiple (LCM) of 94432 and 94446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94432 and 94446. First we will calculate the prime factors of 94432 and 94446.

Prime Factorization of 94432

Prime Factorization of 94446

Now multiplying the highest exponent prime factors to calculate the LCM of 94432 and 94446.

LCM(94432,94446) = 2⁵ × 13¹ × 227¹ × 3⁴ × 11¹ × 53¹
LCM(94432,94446) = 4459362336