What is the Least Common Multiple of 16344 and 16352?

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 16352 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 16352, than apply into the LCM equation.

GCF(16344,16352) = 8
LCM(16344,16352) = ( 16344 × 16352) / 8
LCM(16344,16352) = 267257088 / 8
LCM(16344,16352) = 33407136

Least Common Multiple (LCM) of 16344 and 16352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16344 and 16352. First we will calculate the prime factors of 16344 and 16352.

Prime Factorization of 16344

Prime Factorization of 16352

Now multiplying the highest exponent prime factors to calculate the LCM of 16344 and 16352.

LCM(16344,16352) = 2⁵ × 3² × 227¹ × 7¹ × 73¹
LCM(16344,16352) = 33407136