What is the Least Common Multiple of 17925 and 17940?

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 17940 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 17940, than apply into the LCM equation.

GCF(17925,17940) = 15
LCM(17925,17940) = ( 17925 × 17940) / 15
LCM(17925,17940) = 321574500 / 15
LCM(17925,17940) = 21438300

Least Common Multiple (LCM) of 17925 and 17940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17925 and 17940. First we will calculate the prime factors of 17925 and 17940.

Prime Factorization of 17925

Prime Factorization of 17940

Now multiplying the highest exponent prime factors to calculate the LCM of 17925 and 17940.

LCM(17925,17940) = 3¹ × 5² × 239¹ × 2² × 13¹ × 23¹
LCM(17925,17940) = 21438300