GCF and LCM Calculator Logo

What is the Least Common Multiple of 16354 and 16363?

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 16354 and 16363 is 267600502.

LCM(16354,16363) = 267600502

LCM Calculator and
and

Least Common Multiple of 16354 and 16363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16354 and 16363, than apply into the LCM equation.

GCF(16354,16363) = 1
LCM(16354,16363) = ( 16354 × 16363) / 1
LCM(16354,16363) = 267600502 / 1
LCM(16354,16363) = 267600502

Least Common Multiple (LCM) of 16354 and 16363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16354 and 16363. First we will calculate the prime factors of 16354 and 16363.

Prime Factorization of 16354

Prime factors of 16354 are 2, 13, 17, 37. Prime factorization of 16354 in exponential form is:

16354 = 21 × 131 × 171 × 371

Prime Factorization of 16363

Prime factors of 16363 are 16363. Prime factorization of 16363 in exponential form is:

16363 = 163631

Now multiplying the highest exponent prime factors to calculate the LCM of 16354 and 16363.

LCM(16354,16363) = 21 × 131 × 171 × 371 × 163631
LCM(16354,16363) = 267600502