What is the Least Common Multiple of 87666 and 87675?

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 87666 and 87675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87666 and 87675, than apply into the LCM equation.

GCF(87666,87675) = 3
LCM(87666,87675) = ( 87666 × 87675) / 3
LCM(87666,87675) = 7686116550 / 3
LCM(87666,87675) = 2562038850

Least Common Multiple (LCM) of 87666 and 87675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87666 and 87675. First we will calculate the prime factors of 87666 and 87675.

Prime Factorization of 87666

Prime Factorization of 87675

Now multiplying the highest exponent prime factors to calculate the LCM of 87666 and 87675.

LCM(87666,87675) = 2¹ × 3¹ × 19¹ × 769¹ × 5² × 7¹ × 167¹
LCM(87666,87675) = 2562038850