What is the Least Common Multiple of 90216 and 90231?

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 90216 and 90231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90216 and 90231, than apply into the LCM equation.

GCF(90216,90231) = 3
LCM(90216,90231) = ( 90216 × 90231) / 3
LCM(90216,90231) = 8140279896 / 3
LCM(90216,90231) = 2713426632

Least Common Multiple (LCM) of 90216 and 90231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90216 and 90231. First we will calculate the prime factors of 90216 and 90231.

Prime Factorization of 90216

Prime Factorization of 90231

Now multiplying the highest exponent prime factors to calculate the LCM of 90216 and 90231.

LCM(90216,90231) = 2³ × 3² × 7¹ × 179¹ × 19¹ × 1583¹
LCM(90216,90231) = 2713426632