What is the Least Common Multiple of 16341 and 16346?

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 16341 and 16346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16341 and 16346, than apply into the LCM equation.

GCF(16341,16346) = 1
LCM(16341,16346) = ( 16341 × 16346) / 1
LCM(16341,16346) = 267109986 / 1
LCM(16341,16346) = 267109986

Least Common Multiple (LCM) of 16341 and 16346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16341 and 16346. First we will calculate the prime factors of 16341 and 16346.

Prime Factorization of 16341

Prime Factorization of 16346

Now multiplying the highest exponent prime factors to calculate the LCM of 16341 and 16346.

LCM(16341,16346) = 3¹ × 13¹ × 419¹ × 2¹ × 11¹ × 743¹
LCM(16341,16346) = 267109986