What is the Least Common Multiple of 90077 and 90089?

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 90077 and 90089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90077 and 90089, than apply into the LCM equation.

GCF(90077,90089) = 1
LCM(90077,90089) = ( 90077 × 90089) / 1
LCM(90077,90089) = 8114946853 / 1
LCM(90077,90089) = 8114946853

Least Common Multiple (LCM) of 90077 and 90089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90077 and 90089. First we will calculate the prime factors of 90077 and 90089.

Prime Factorization of 90077

Prime Factorization of 90089

Now multiplying the highest exponent prime factors to calculate the LCM of 90077 and 90089.

LCM(90077,90089) = 13³ × 41¹ × 90089¹
LCM(90077,90089) = 8114946853