GCF and LCM Calculator Logo

What is the Least Common Multiple of 16347 and 16358?

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 (LCM) of 16347 and 16358 is 267404226.

LCM(16347,16358) = 267404226

LCM Calculator and
and

Least Common Multiple of 16347 and 16358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16347 and 16358, than apply into the LCM equation.

GCF(16347,16358) = 1
LCM(16347,16358) = ( 16347 × 16358) / 1
LCM(16347,16358) = 267404226 / 1
LCM(16347,16358) = 267404226

Least Common Multiple (LCM) of 16347 and 16358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16347 and 16358. First we will calculate the prime factors of 16347 and 16358.

Prime Factorization of 16347

Prime factors of 16347 are 3, 5449. Prime factorization of 16347 in exponential form is:

16347 = 31 × 54491

Prime Factorization of 16358

Prime factors of 16358 are 2, 8179. Prime factorization of 16358 in exponential form is:

16358 = 21 × 81791

Now multiplying the highest exponent prime factors to calculate the LCM of 16347 and 16358.

LCM(16347,16358) = 31 × 54491 × 21 × 81791
LCM(16347,16358) = 267404226