What is the Least Common Multiple of 87465 and 87480?

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 87465 and 87480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87465 and 87480, than apply into the LCM equation.

GCF(87465,87480) = 15
LCM(87465,87480) = ( 87465 × 87480) / 15
LCM(87465,87480) = 7651438200 / 15
LCM(87465,87480) = 510095880

Least Common Multiple (LCM) of 87465 and 87480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87465 and 87480. First we will calculate the prime factors of 87465 and 87480.

Prime Factorization of 87465

Prime Factorization of 87480

Now multiplying the highest exponent prime factors to calculate the LCM of 87465 and 87480.

LCM(87465,87480) = 3⁷ × 5¹ × 7³ × 17¹ × 2³
LCM(87465,87480) = 510095880