What is the Least Common Multiple of 17346 and 17357?

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 17346 and 17357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17346 and 17357, than apply into the LCM equation.

GCF(17346,17357) = 1
LCM(17346,17357) = ( 17346 × 17357) / 1
LCM(17346,17357) = 301074522 / 1
LCM(17346,17357) = 301074522

Least Common Multiple (LCM) of 17346 and 17357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17346 and 17357. First we will calculate the prime factors of 17346 and 17357.

Prime Factorization of 17346

Prime Factorization of 17357

Now multiplying the highest exponent prime factors to calculate the LCM of 17346 and 17357.

LCM(17346,17357) = 2¹ × 3¹ × 7² × 59¹ × 17¹ × 1021¹
LCM(17346,17357) = 301074522