What is the Least Common Multiple of 59304 and 59310?

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 59304 and 59310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59304 and 59310, than apply into the LCM equation.

GCF(59304,59310) = 6
LCM(59304,59310) = ( 59304 × 59310) / 6
LCM(59304,59310) = 3517320240 / 6
LCM(59304,59310) = 586220040

Least Common Multiple (LCM) of 59304 and 59310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59304 and 59310. First we will calculate the prime factors of 59304 and 59310.

Prime Factorization of 59304

Prime Factorization of 59310

Now multiplying the highest exponent prime factors to calculate the LCM of 59304 and 59310.

LCM(59304,59310) = 2³ × 3² × 7¹ × 353¹ × 5¹ × 659¹
LCM(59304,59310) = 586220040