What is the Least Common Multiple of 23670 and 23675?

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 23670 and 23675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23670 and 23675, than apply into the LCM equation.

GCF(23670,23675) = 5
LCM(23670,23675) = ( 23670 × 23675) / 5
LCM(23670,23675) = 560387250 / 5
LCM(23670,23675) = 112077450

Least Common Multiple (LCM) of 23670 and 23675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23670 and 23675. First we will calculate the prime factors of 23670 and 23675.

Prime Factorization of 23670

Prime Factorization of 23675

Now multiplying the highest exponent prime factors to calculate the LCM of 23670 and 23675.

LCM(23670,23675) = 2¹ × 3² × 5² × 263¹ × 947¹
LCM(23670,23675) = 112077450