What is the Least Common Multiple of 90060 and 90075?

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 90060 and 90075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90060 and 90075, than apply into the LCM equation.

GCF(90060,90075) = 15
LCM(90060,90075) = ( 90060 × 90075) / 15
LCM(90060,90075) = 8112154500 / 15
LCM(90060,90075) = 540810300

Least Common Multiple (LCM) of 90060 and 90075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90060 and 90075. First we will calculate the prime factors of 90060 and 90075.

Prime Factorization of 90060

Prime Factorization of 90075

Now multiplying the highest exponent prime factors to calculate the LCM of 90060 and 90075.

LCM(90060,90075) = 2² × 3¹ × 5² × 19¹ × 79¹ × 1201¹
LCM(90060,90075) = 540810300