What is the Least Common Multiple of 13605 and 13623?

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 13605 and 13623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13605 and 13623, than apply into the LCM equation.

GCF(13605,13623) = 3
LCM(13605,13623) = ( 13605 × 13623) / 3
LCM(13605,13623) = 185340915 / 3
LCM(13605,13623) = 61780305

Least Common Multiple (LCM) of 13605 and 13623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13605 and 13623. First we will calculate the prime factors of 13605 and 13623.

Prime Factorization of 13605

Prime Factorization of 13623

Now multiplying the highest exponent prime factors to calculate the LCM of 13605 and 13623.

LCM(13605,13623) = 3¹ × 5¹ × 907¹ × 19¹ × 239¹
LCM(13605,13623) = 61780305