What is the Least Common Multiple of 3614 and 3627?

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 3614 and 3627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3614 and 3627, than apply into the LCM equation.

GCF(3614,3627) = 13
LCM(3614,3627) = ( 3614 × 3627) / 13
LCM(3614,3627) = 13107978 / 13
LCM(3614,3627) = 1008306

Least Common Multiple (LCM) of 3614 and 3627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3614 and 3627. First we will calculate the prime factors of 3614 and 3627.

Prime Factorization of 3614

Prime Factorization of 3627

Now multiplying the highest exponent prime factors to calculate the LCM of 3614 and 3627.

LCM(3614,3627) = 2¹ × 13¹ × 139¹ × 3² × 31¹
LCM(3614,3627) = 1008306