What is the Least Common Multiple of 87075 and 87090?

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 87075 and 87090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87075 and 87090, than apply into the LCM equation.

GCF(87075,87090) = 15
LCM(87075,87090) = ( 87075 × 87090) / 15
LCM(87075,87090) = 7583361750 / 15
LCM(87075,87090) = 505557450

Least Common Multiple (LCM) of 87075 and 87090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87075 and 87090. First we will calculate the prime factors of 87075 and 87090.

Prime Factorization of 87075

Prime Factorization of 87090

Now multiplying the highest exponent prime factors to calculate the LCM of 87075 and 87090.

LCM(87075,87090) = 3⁴ × 5² × 43¹ × 2¹ × 2903¹
LCM(87075,87090) = 505557450