What is the Least Common Multiple of 90600 and 90615?

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 90600 and 90615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90600 and 90615, than apply into the LCM equation.

GCF(90600,90615) = 15
LCM(90600,90615) = ( 90600 × 90615) / 15
LCM(90600,90615) = 8209719000 / 15
LCM(90600,90615) = 547314600

Least Common Multiple (LCM) of 90600 and 90615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90600 and 90615. First we will calculate the prime factors of 90600 and 90615.

Prime Factorization of 90600

Prime Factorization of 90615

Now multiplying the highest exponent prime factors to calculate the LCM of 90600 and 90615.

LCM(90600,90615) = 2³ × 3¹ × 5² × 151¹ × 7¹ × 863¹
LCM(90600,90615) = 547314600