What is the Least Common Multiple of 3627 and 3645?

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 3627 and 3645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3627 and 3645, than apply into the LCM equation.

GCF(3627,3645) = 9
LCM(3627,3645) = ( 3627 × 3645) / 9
LCM(3627,3645) = 13220415 / 9
LCM(3627,3645) = 1468935

Least Common Multiple (LCM) of 3627 and 3645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3627 and 3645. First we will calculate the prime factors of 3627 and 3645.

Prime Factorization of 3627

Prime Factorization of 3645

Now multiplying the highest exponent prime factors to calculate the LCM of 3627 and 3645.

LCM(3627,3645) = 3⁶ × 13¹ × 31¹ × 5¹
LCM(3627,3645) = 1468935