What is the Least Common Multiple of 90432 and 90446?

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 90432 and 90446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90432 and 90446, than apply into the LCM equation.

GCF(90432,90446) = 2
LCM(90432,90446) = ( 90432 × 90446) / 2
LCM(90432,90446) = 8179212672 / 2
LCM(90432,90446) = 4089606336

Least Common Multiple (LCM) of 90432 and 90446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90432 and 90446. First we will calculate the prime factors of 90432 and 90446.

Prime Factorization of 90432

Prime Factorization of 90446

Now multiplying the highest exponent prime factors to calculate the LCM of 90432 and 90446.

LCM(90432,90446) = 2⁶ × 3² × 157¹ × 41¹ × 1103¹
LCM(90432,90446) = 4089606336