What is the Least Common Multiple of 90189 and 90195?

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 90189 and 90195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90189 and 90195, than apply into the LCM equation.

GCF(90189,90195) = 3
LCM(90189,90195) = ( 90189 × 90195) / 3
LCM(90189,90195) = 8134596855 / 3
LCM(90189,90195) = 2711532285

Least Common Multiple (LCM) of 90189 and 90195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90189 and 90195. First we will calculate the prime factors of 90189 and 90195.

Prime Factorization of 90189

Prime Factorization of 90195

Now multiplying the highest exponent prime factors to calculate the LCM of 90189 and 90195.

LCM(90189,90195) = 3² × 11¹ × 911¹ × 5¹ × 7¹ × 859¹
LCM(90189,90195) = 2711532285