What is the Least Common Multiple of 90459 and 90477?

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 90459 and 90477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90459 and 90477, than apply into the LCM equation.

GCF(90459,90477) = 9
LCM(90459,90477) = ( 90459 × 90477) / 9
LCM(90459,90477) = 8184458943 / 9
LCM(90459,90477) = 909384327

Least Common Multiple (LCM) of 90459 and 90477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90459 and 90477. First we will calculate the prime factors of 90459 and 90477.

Prime Factorization of 90459

Prime Factorization of 90477

Now multiplying the highest exponent prime factors to calculate the LCM of 90459 and 90477.

LCM(90459,90477) = 3⁴ × 19¹ × 23² × 1117¹
LCM(90459,90477) = 909384327