What is the Least Common Multiple of 32316 and 32325?

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 32316 and 32325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32316 and 32325, than apply into the LCM equation.

GCF(32316,32325) = 3
LCM(32316,32325) = ( 32316 × 32325) / 3
LCM(32316,32325) = 1044614700 / 3
LCM(32316,32325) = 348204900

Least Common Multiple (LCM) of 32316 and 32325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32316 and 32325. First we will calculate the prime factors of 32316 and 32325.

Prime Factorization of 32316

Prime Factorization of 32325

Now multiplying the highest exponent prime factors to calculate the LCM of 32316 and 32325.

LCM(32316,32325) = 2² × 3¹ × 2693¹ × 5² × 431¹
LCM(32316,32325) = 348204900