What is the Least Common Multiple of 32310 and 32316?

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 32310 and 32316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32310 and 32316, than apply into the LCM equation.

GCF(32310,32316) = 6
LCM(32310,32316) = ( 32310 × 32316) / 6
LCM(32310,32316) = 1044129960 / 6
LCM(32310,32316) = 174021660

Least Common Multiple (LCM) of 32310 and 32316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32310 and 32316. First we will calculate the prime factors of 32310 and 32316.

Prime Factorization of 32310

Prime Factorization of 32316

Now multiplying the highest exponent prime factors to calculate the LCM of 32310 and 32316.

LCM(32310,32316) = 2² × 3² × 5¹ × 359¹ × 2693¹
LCM(32310,32316) = 174021660