What is the Least Common Multiple of 13625 and 13635?

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 13625 and 13635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13625 and 13635, than apply into the LCM equation.

GCF(13625,13635) = 5
LCM(13625,13635) = ( 13625 × 13635) / 5
LCM(13625,13635) = 185776875 / 5
LCM(13625,13635) = 37155375

Least Common Multiple (LCM) of 13625 and 13635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13625 and 13635. First we will calculate the prime factors of 13625 and 13635.

Prime Factorization of 13625

Prime Factorization of 13635

Now multiplying the highest exponent prime factors to calculate the LCM of 13625 and 13635.

LCM(13625,13635) = 5³ × 109¹ × 3³ × 101¹
LCM(13625,13635) = 37155375