What is the Least Common Multiple of 13653 and 13673?

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 13653 and 13673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13653 and 13673, than apply into the LCM equation.

GCF(13653,13673) = 1
LCM(13653,13673) = ( 13653 × 13673) / 1
LCM(13653,13673) = 186677469 / 1
LCM(13653,13673) = 186677469

Least Common Multiple (LCM) of 13653 and 13673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13653 and 13673. First we will calculate the prime factors of 13653 and 13673.

Prime Factorization of 13653

Prime Factorization of 13673

Now multiplying the highest exponent prime factors to calculate the LCM of 13653 and 13673.

LCM(13653,13673) = 3² × 37¹ × 41¹ × 11² × 113¹
LCM(13653,13673) = 186677469