What is the Least Common Multiple of 90432 and 90437?

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 90437 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 90437, than apply into the LCM equation.

GCF(90432,90437) = 1
LCM(90432,90437) = ( 90432 × 90437) / 1
LCM(90432,90437) = 8178398784 / 1
LCM(90432,90437) = 8178398784

Least Common Multiple (LCM) of 90432 and 90437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90432 and 90437. First we will calculate the prime factors of 90432 and 90437.

Prime Factorization of 90432

Prime Factorization of 90437

Now multiplying the highest exponent prime factors to calculate the LCM of 90432 and 90437.

LCM(90432,90437) = 2⁶ × 3² × 157¹ × 90437¹
LCM(90432,90437) = 8178398784