What is the Least Common Multiple of 16323 and 16330?

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 16323 and 16330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16323 and 16330, than apply into the LCM equation.

GCF(16323,16330) = 1
LCM(16323,16330) = ( 16323 × 16330) / 1
LCM(16323,16330) = 266554590 / 1
LCM(16323,16330) = 266554590

Least Common Multiple (LCM) of 16323 and 16330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16323 and 16330. First we will calculate the prime factors of 16323 and 16330.

Prime Factorization of 16323

Prime Factorization of 16330

Now multiplying the highest exponent prime factors to calculate the LCM of 16323 and 16330.

LCM(16323,16330) = 3¹ × 5441¹ × 2¹ × 5¹ × 23¹ × 71¹
LCM(16323,16330) = 266554590