What is the Least Common Multiple of 13635 and 13653?

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 13635 and 13653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13635 and 13653, than apply into the LCM equation.

GCF(13635,13653) = 9
LCM(13635,13653) = ( 13635 × 13653) / 9
LCM(13635,13653) = 186158655 / 9
LCM(13635,13653) = 20684295

Least Common Multiple (LCM) of 13635 and 13653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13635 and 13653. First we will calculate the prime factors of 13635 and 13653.

Prime Factorization of 13635

Prime Factorization of 13653

Now multiplying the highest exponent prime factors to calculate the LCM of 13635 and 13653.

LCM(13635,13653) = 3³ × 5¹ × 101¹ × 37¹ × 41¹
LCM(13635,13653) = 20684295