What is the Least Common Multiple of 12636 and 12645?

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 12636 and 12645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12636 and 12645, than apply into the LCM equation.

GCF(12636,12645) = 9
LCM(12636,12645) = ( 12636 × 12645) / 9
LCM(12636,12645) = 159782220 / 9
LCM(12636,12645) = 17753580

Least Common Multiple (LCM) of 12636 and 12645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12636 and 12645. First we will calculate the prime factors of 12636 and 12645.

Prime Factorization of 12636

Prime Factorization of 12645

Now multiplying the highest exponent prime factors to calculate the LCM of 12636 and 12645.

LCM(12636,12645) = 2² × 3⁵ × 13¹ × 5¹ × 281¹
LCM(12636,12645) = 17753580