What is the Least Common Multiple of 16348 and 16355?

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 16348 and 16355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16348 and 16355, than apply into the LCM equation.

GCF(16348,16355) = 1
LCM(16348,16355) = ( 16348 × 16355) / 1
LCM(16348,16355) = 267371540 / 1
LCM(16348,16355) = 267371540

Least Common Multiple (LCM) of 16348 and 16355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16348 and 16355. First we will calculate the prime factors of 16348 and 16355.

Prime Factorization of 16348

Prime Factorization of 16355

Now multiplying the highest exponent prime factors to calculate the LCM of 16348 and 16355.

LCM(16348,16355) = 2² × 61¹ × 67¹ × 5¹ × 3271¹
LCM(16348,16355) = 267371540