What is the Least Common Multiple of 16296 and 16303?

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 16296 and 16303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16296 and 16303, than apply into the LCM equation.

GCF(16296,16303) = 7
LCM(16296,16303) = ( 16296 × 16303) / 7
LCM(16296,16303) = 265673688 / 7
LCM(16296,16303) = 37953384

Least Common Multiple (LCM) of 16296 and 16303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16296 and 16303. First we will calculate the prime factors of 16296 and 16303.

Prime Factorization of 16296

Prime Factorization of 16303

Now multiplying the highest exponent prime factors to calculate the LCM of 16296 and 16303.

LCM(16296,16303) = 2³ × 3¹ × 7¹ × 97¹ × 17¹ × 137¹
LCM(16296,16303) = 37953384