What is the Least Common Multiple of 17354 and 17368?

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 17354 and 17368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17354 and 17368, than apply into the LCM equation.

GCF(17354,17368) = 2
LCM(17354,17368) = ( 17354 × 17368) / 2
LCM(17354,17368) = 301404272 / 2
LCM(17354,17368) = 150702136

Least Common Multiple (LCM) of 17354 and 17368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17354 and 17368. First we will calculate the prime factors of 17354 and 17368.

Prime Factorization of 17354

Prime Factorization of 17368

Now multiplying the highest exponent prime factors to calculate the LCM of 17354 and 17368.

LCM(17354,17368) = 2³ × 8677¹ × 13¹ × 167¹
LCM(17354,17368) = 150702136