What is the Least Common Multiple of 90477 and 90489?

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 90477 and 90489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90477 and 90489, than apply into the LCM equation.

GCF(90477,90489) = 3
LCM(90477,90489) = ( 90477 × 90489) / 3
LCM(90477,90489) = 8187173253 / 3
LCM(90477,90489) = 2729057751

Least Common Multiple (LCM) of 90477 and 90489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90477 and 90489. First we will calculate the prime factors of 90477 and 90489.

Prime Factorization of 90477

Prime Factorization of 90489

Now multiplying the highest exponent prime factors to calculate the LCM of 90477 and 90489.

LCM(90477,90489) = 3⁴ × 1117¹ × 7¹ × 31¹ × 139¹
LCM(90477,90489) = 2729057751