What is the Least Common Multiple of 90426 and 90432?

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 90426 and 90432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90426 and 90432, than apply into the LCM equation.

GCF(90426,90432) = 6
LCM(90426,90432) = ( 90426 × 90432) / 6
LCM(90426,90432) = 8177404032 / 6
LCM(90426,90432) = 1362900672

Least Common Multiple (LCM) of 90426 and 90432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90426 and 90432. First we will calculate the prime factors of 90426 and 90432.

Prime Factorization of 90426

Prime Factorization of 90432

Now multiplying the highest exponent prime factors to calculate the LCM of 90426 and 90432.

LCM(90426,90432) = 2⁶ × 3² × 7¹ × 2153¹ × 157¹
LCM(90426,90432) = 1362900672