What is the Least Common Multiple of 3609 and 3623?

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 3609 and 3623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3609 and 3623, than apply into the LCM equation.

GCF(3609,3623) = 1
LCM(3609,3623) = ( 3609 × 3623) / 1
LCM(3609,3623) = 13075407 / 1
LCM(3609,3623) = 13075407

Least Common Multiple (LCM) of 3609 and 3623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3609 and 3623. First we will calculate the prime factors of 3609 and 3623.

Prime Factorization of 3609

Prime Factorization of 3623

Now multiplying the highest exponent prime factors to calculate the LCM of 3609 and 3623.

LCM(3609,3623) = 3² × 401¹ × 3623¹
LCM(3609,3623) = 13075407