What is the Least Common Multiple of 90489 and 90508?

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 90508 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 90508, than apply into the LCM equation.

GCF(90489,90508) = 1
LCM(90489,90508) = ( 90489 × 90508) / 1
LCM(90489,90508) = 8189978412 / 1
LCM(90489,90508) = 8189978412

Least Common Multiple (LCM) of 90489 and 90508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90489 and 90508. First we will calculate the prime factors of 90489 and 90508.

Prime Factorization of 90489

Prime Factorization of 90508

Now multiplying the highest exponent prime factors to calculate the LCM of 90489 and 90508.

LCM(90489,90508) = 3¹ × 7¹ × 31¹ × 139¹ × 2² × 11³ × 17¹
LCM(90489,90508) = 8189978412