What is the Least Common Multiple of 17312 and 17318?

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 17312 and 17318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17312 and 17318, than apply into the LCM equation.

GCF(17312,17318) = 2
LCM(17312,17318) = ( 17312 × 17318) / 2
LCM(17312,17318) = 299809216 / 2
LCM(17312,17318) = 149904608

Least Common Multiple (LCM) of 17312 and 17318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17312 and 17318. First we will calculate the prime factors of 17312 and 17318.

Prime Factorization of 17312

Prime Factorization of 17318

Now multiplying the highest exponent prime factors to calculate the LCM of 17312 and 17318.

LCM(17312,17318) = 2⁵ × 541¹ × 7¹ × 1237¹
LCM(17312,17318) = 149904608