What is the Least Common Multiple of 32325 and 32340?

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 32325 and 32340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32325 and 32340, than apply into the LCM equation.

GCF(32325,32340) = 15
LCM(32325,32340) = ( 32325 × 32340) / 15
LCM(32325,32340) = 1045390500 / 15
LCM(32325,32340) = 69692700

Least Common Multiple (LCM) of 32325 and 32340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32325 and 32340. First we will calculate the prime factors of 32325 and 32340.

Prime Factorization of 32325

Prime Factorization of 32340

Now multiplying the highest exponent prime factors to calculate the LCM of 32325 and 32340.

LCM(32325,32340) = 3¹ × 5² × 431¹ × 2² × 7² × 11¹
LCM(32325,32340) = 69692700