What is the Least Common Multiple of 16338 and 16345?

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 16338 and 16345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16338 and 16345, than apply into the LCM equation.

GCF(16338,16345) = 7
LCM(16338,16345) = ( 16338 × 16345) / 7
LCM(16338,16345) = 267044610 / 7
LCM(16338,16345) = 38149230

Least Common Multiple (LCM) of 16338 and 16345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16338 and 16345. First we will calculate the prime factors of 16338 and 16345.

Prime Factorization of 16338

Prime Factorization of 16345

Now multiplying the highest exponent prime factors to calculate the LCM of 16338 and 16345.

LCM(16338,16345) = 2¹ × 3¹ × 7¹ × 389¹ × 5¹ × 467¹
LCM(16338,16345) = 38149230