What is the Least Common Multiple of 16347 and 16356?

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 16347 and 16356 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 16356, than apply into the LCM equation.

GCF(16347,16356) = 3
LCM(16347,16356) = ( 16347 × 16356) / 3
LCM(16347,16356) = 267371532 / 3
LCM(16347,16356) = 89123844

Least Common Multiple (LCM) of 16347 and 16356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16347 and 16356. First we will calculate the prime factors of 16347 and 16356.

Prime Factorization of 16347

Prime Factorization of 16356

Now multiplying the highest exponent prime factors to calculate the LCM of 16347 and 16356.

LCM(16347,16356) = 3¹ × 5449¹ × 2² × 29¹ × 47¹
LCM(16347,16356) = 89123844