What is the Least Common Multiple of 16344 and 16348?

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 16344 and 16348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16344 and 16348, than apply into the LCM equation.

GCF(16344,16348) = 4
LCM(16344,16348) = ( 16344 × 16348) / 4
LCM(16344,16348) = 267191712 / 4
LCM(16344,16348) = 66797928

Least Common Multiple (LCM) of 16344 and 16348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16344 and 16348. First we will calculate the prime factors of 16344 and 16348.

Prime Factorization of 16344

Prime Factorization of 16348

Now multiplying the highest exponent prime factors to calculate the LCM of 16344 and 16348.

LCM(16344,16348) = 2³ × 3² × 227¹ × 61¹ × 67¹
LCM(16344,16348) = 66797928