What is the Least Common Multiple of 17300 and 17319?

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 17300 and 17319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17300 and 17319, than apply into the LCM equation.

GCF(17300,17319) = 1
LCM(17300,17319) = ( 17300 × 17319) / 1
LCM(17300,17319) = 299618700 / 1
LCM(17300,17319) = 299618700

Least Common Multiple (LCM) of 17300 and 17319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17300 and 17319. First we will calculate the prime factors of 17300 and 17319.

Prime Factorization of 17300

Prime Factorization of 17319

Now multiplying the highest exponent prime factors to calculate the LCM of 17300 and 17319.

LCM(17300,17319) = 2² × 5² × 173¹ × 3¹ × 23¹ × 251¹
LCM(17300,17319) = 299618700