What is the Least Common Multiple of 16346 and 16357?

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 16346 and 16357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16346 and 16357, than apply into the LCM equation.

GCF(16346,16357) = 11
LCM(16346,16357) = ( 16346 × 16357) / 11
LCM(16346,16357) = 267371522 / 11
LCM(16346,16357) = 24306502

Least Common Multiple (LCM) of 16346 and 16357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16346 and 16357. First we will calculate the prime factors of 16346 and 16357.

Prime Factorization of 16346

Prime Factorization of 16357

Now multiplying the highest exponent prime factors to calculate the LCM of 16346 and 16357.

LCM(16346,16357) = 2¹ × 11¹ × 743¹ × 1487¹
LCM(16346,16357) = 24306502