What is the Least Common Multiple of 8670 and 8675?

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 8670 and 8675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8670 and 8675, than apply into the LCM equation.

GCF(8670,8675) = 5
LCM(8670,8675) = ( 8670 × 8675) / 5
LCM(8670,8675) = 75212250 / 5
LCM(8670,8675) = 15042450

Least Common Multiple (LCM) of 8670 and 8675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8670 and 8675. First we will calculate the prime factors of 8670 and 8675.

Prime Factorization of 8670

Prime Factorization of 8675

Now multiplying the highest exponent prime factors to calculate the LCM of 8670 and 8675.

LCM(8670,8675) = 2¹ × 3¹ × 5² × 17² × 347¹
LCM(8670,8675) = 15042450