What is the Least Common Multiple of 11625 and 11638?

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 11625 and 11638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11625 and 11638, than apply into the LCM equation.

GCF(11625,11638) = 1
LCM(11625,11638) = ( 11625 × 11638) / 1
LCM(11625,11638) = 135291750 / 1
LCM(11625,11638) = 135291750

Least Common Multiple (LCM) of 11625 and 11638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11625 and 11638. First we will calculate the prime factors of 11625 and 11638.

Prime Factorization of 11625

Prime Factorization of 11638

Now multiplying the highest exponent prime factors to calculate the LCM of 11625 and 11638.

LCM(11625,11638) = 3¹ × 5³ × 31¹ × 2¹ × 11¹ × 23²
LCM(11625,11638) = 135291750