What is the Least Common Multiple of 16354 and 16371?

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 16354 and 16371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16354 and 16371, than apply into the LCM equation.

GCF(16354,16371) = 17
LCM(16354,16371) = ( 16354 × 16371) / 17
LCM(16354,16371) = 267731334 / 17
LCM(16354,16371) = 15748902

Least Common Multiple (LCM) of 16354 and 16371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16354 and 16371. First we will calculate the prime factors of 16354 and 16371.

Prime Factorization of 16354

Prime Factorization of 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 16354 and 16371.

LCM(16354,16371) = 2¹ × 13¹ × 17¹ × 37¹ × 3² × 107¹
LCM(16354,16371) = 15748902