What is the Least Common Multiple of 17310 and 17316?

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 17310 and 17316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17310 and 17316, than apply into the LCM equation.

GCF(17310,17316) = 6
LCM(17310,17316) = ( 17310 × 17316) / 6
LCM(17310,17316) = 299739960 / 6
LCM(17310,17316) = 49956660

Least Common Multiple (LCM) of 17310 and 17316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17310 and 17316. First we will calculate the prime factors of 17310 and 17316.

Prime Factorization of 17310

Prime Factorization of 17316

Now multiplying the highest exponent prime factors to calculate the LCM of 17310 and 17316.

LCM(17310,17316) = 2² × 3² × 5¹ × 577¹ × 13¹ × 37¹
LCM(17310,17316) = 49956660