What is the Least Common Multiple of 16200 and 16217?

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 16200 and 16217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16200 and 16217, than apply into the LCM equation.

GCF(16200,16217) = 1
LCM(16200,16217) = ( 16200 × 16217) / 1
LCM(16200,16217) = 262715400 / 1
LCM(16200,16217) = 262715400

Least Common Multiple (LCM) of 16200 and 16217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16200 and 16217. First we will calculate the prime factors of 16200 and 16217.

Prime Factorization of 16200

Prime Factorization of 16217

Now multiplying the highest exponent prime factors to calculate the LCM of 16200 and 16217.

LCM(16200,16217) = 2³ × 3⁴ × 5² × 16217¹
LCM(16200,16217) = 262715400