What is the Least Common Multiple of 13625 and 13638?

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 13638 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 13638, than apply into the LCM equation.

GCF(13625,13638) = 1
LCM(13625,13638) = ( 13625 × 13638) / 1
LCM(13625,13638) = 185817750 / 1
LCM(13625,13638) = 185817750

Least Common Multiple (LCM) of 13625 and 13638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13625 and 13638. First we will calculate the prime factors of 13625 and 13638.

Prime Factorization of 13625

Prime Factorization of 13638

Now multiplying the highest exponent prime factors to calculate the LCM of 13625 and 13638.

LCM(13625,13638) = 5³ × 109¹ × 2¹ × 3¹ × 2273¹
LCM(13625,13638) = 185817750