What is the Least Common Multiple of 2670 and 2675?

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 2670 and 2675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2670 and 2675, than apply into the LCM equation.

GCF(2670,2675) = 5
LCM(2670,2675) = ( 2670 × 2675) / 5
LCM(2670,2675) = 7142250 / 5
LCM(2670,2675) = 1428450

Least Common Multiple (LCM) of 2670 and 2675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2670 and 2675. First we will calculate the prime factors of 2670 and 2675.

Prime Factorization of 2670

Prime Factorization of 2675

Now multiplying the highest exponent prime factors to calculate the LCM of 2670 and 2675.

LCM(2670,2675) = 2¹ × 3¹ × 5² × 89¹ × 107¹
LCM(2670,2675) = 1428450