What is the Least Common Multiple of 90171 and 90189?

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 90171 and 90189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90171 and 90189, than apply into the LCM equation.

GCF(90171,90189) = 9
LCM(90171,90189) = ( 90171 × 90189) / 9
LCM(90171,90189) = 8132432319 / 9
LCM(90171,90189) = 903603591

Least Common Multiple (LCM) of 90171 and 90189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90171 and 90189. First we will calculate the prime factors of 90171 and 90189.

Prime Factorization of 90171

Prime Factorization of 90189

Now multiplying the highest exponent prime factors to calculate the LCM of 90171 and 90189.

LCM(90171,90189) = 3² × 43¹ × 233¹ × 11¹ × 911¹
LCM(90171,90189) = 903603591