What is the Least Common Multiple of 90489 and 90501?

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 90489 and 90501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90489 and 90501, than apply into the LCM equation.

GCF(90489,90501) = 3
LCM(90489,90501) = ( 90489 × 90501) / 3
LCM(90489,90501) = 8189344989 / 3
LCM(90489,90501) = 2729781663

Least Common Multiple (LCM) of 90489 and 90501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90489 and 90501. First we will calculate the prime factors of 90489 and 90501.

Prime Factorization of 90489

Prime Factorization of 90501

Now multiplying the highest exponent prime factors to calculate the LCM of 90489 and 90501.

LCM(90489,90501) = 3¹ × 7¹ × 31¹ × 139¹ × 97¹ × 311¹
LCM(90489,90501) = 2729781663