What is the Least Common Multiple of 16345 and 16359?

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 16345 and 16359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16345 and 16359, than apply into the LCM equation.

GCF(16345,16359) = 7
LCM(16345,16359) = ( 16345 × 16359) / 7
LCM(16345,16359) = 267387855 / 7
LCM(16345,16359) = 38198265

Least Common Multiple (LCM) of 16345 and 16359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16345 and 16359. First we will calculate the prime factors of 16345 and 16359.

Prime Factorization of 16345

Prime Factorization of 16359

Now multiplying the highest exponent prime factors to calculate the LCM of 16345 and 16359.

LCM(16345,16359) = 5¹ × 7¹ × 467¹ × 3¹ × 19¹ × 41¹
LCM(16345,16359) = 38198265