What is the Least Common Multiple of 17270 and 17284?

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 17270 and 17284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17270 and 17284, than apply into the LCM equation.

GCF(17270,17284) = 2
LCM(17270,17284) = ( 17270 × 17284) / 2
LCM(17270,17284) = 298494680 / 2
LCM(17270,17284) = 149247340

Least Common Multiple (LCM) of 17270 and 17284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17270 and 17284. First we will calculate the prime factors of 17270 and 17284.

Prime Factorization of 17270

Prime Factorization of 17284

Now multiplying the highest exponent prime factors to calculate the LCM of 17270 and 17284.

LCM(17270,17284) = 2² × 5¹ × 11¹ × 157¹ × 29¹ × 149¹
LCM(17270,17284) = 149247340