What is the Least Common Multiple of 59310 and 59316?

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 59310 and 59316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59310 and 59316, than apply into the LCM equation.

GCF(59310,59316) = 6
LCM(59310,59316) = ( 59310 × 59316) / 6
LCM(59310,59316) = 3518031960 / 6
LCM(59310,59316) = 586338660

Least Common Multiple (LCM) of 59310 and 59316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59310 and 59316. First we will calculate the prime factors of 59310 and 59316.

Prime Factorization of 59310

Prime Factorization of 59316

Now multiplying the highest exponent prime factors to calculate the LCM of 59310 and 59316.

LCM(59310,59316) = 2² × 3² × 5¹ × 659¹ × 4943¹
LCM(59310,59316) = 586338660