What is the Least Common Multiple of 16208 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 16208 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 16208 and 16217, than apply into the LCM equation.

GCF(16208,16217) = 1
LCM(16208,16217) = ( 16208 × 16217) / 1
LCM(16208,16217) = 262845136 / 1
LCM(16208,16217) = 262845136

Least Common Multiple (LCM) of 16208 and 16217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16208 and 16217. First we will calculate the prime factors of 16208 and 16217.

Prime Factorization of 16208

Prime Factorization of 16217

Now multiplying the highest exponent prime factors to calculate the LCM of 16208 and 16217.

LCM(16208,16217) = 2⁴ × 1013¹ × 16217¹
LCM(16208,16217) = 262845136