What is the Least Common Multiple of 32304 and 32310?

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 32304 and 32310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32304 and 32310, than apply into the LCM equation.

GCF(32304,32310) = 6
LCM(32304,32310) = ( 32304 × 32310) / 6
LCM(32304,32310) = 1043742240 / 6
LCM(32304,32310) = 173957040

Least Common Multiple (LCM) of 32304 and 32310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32304 and 32310. First we will calculate the prime factors of 32304 and 32310.

Prime Factorization of 32304

Prime Factorization of 32310

Now multiplying the highest exponent prime factors to calculate the LCM of 32304 and 32310.

LCM(32304,32310) = 2⁴ × 3² × 673¹ × 5¹ × 359¹
LCM(32304,32310) = 173957040