What is the Least Common Multiple of 17925 and 17944?

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 17925 and 17944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17925 and 17944, than apply into the LCM equation.

GCF(17925,17944) = 1
LCM(17925,17944) = ( 17925 × 17944) / 1
LCM(17925,17944) = 321646200 / 1
LCM(17925,17944) = 321646200

Least Common Multiple (LCM) of 17925 and 17944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17925 and 17944. First we will calculate the prime factors of 17925 and 17944.

Prime Factorization of 17925

Prime Factorization of 17944

Now multiplying the highest exponent prime factors to calculate the LCM of 17925 and 17944.

LCM(17925,17944) = 3¹ × 5² × 239¹ × 2³ × 2243¹
LCM(17925,17944) = 321646200