What is the Least Common Multiple of 87090 and 87108?

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 87090 and 87108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87090 and 87108, than apply into the LCM equation.

GCF(87090,87108) = 6
LCM(87090,87108) = ( 87090 × 87108) / 6
LCM(87090,87108) = 7586235720 / 6
LCM(87090,87108) = 1264372620

Least Common Multiple (LCM) of 87090 and 87108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87090 and 87108. First we will calculate the prime factors of 87090 and 87108.

Prime Factorization of 87090

Prime Factorization of 87108

Now multiplying the highest exponent prime factors to calculate the LCM of 87090 and 87108.

LCM(87090,87108) = 2² × 3¹ × 5¹ × 2903¹ × 7¹ × 17¹ × 61¹
LCM(87090,87108) = 1264372620