What is the Least Common Multiple of 16200 and 16215?

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 16215 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 16215, than apply into the LCM equation.

GCF(16200,16215) = 15
LCM(16200,16215) = ( 16200 × 16215) / 15
LCM(16200,16215) = 262683000 / 15
LCM(16200,16215) = 17512200

Least Common Multiple (LCM) of 16200 and 16215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16200 and 16215. First we will calculate the prime factors of 16200 and 16215.

Prime Factorization of 16200

Prime Factorization of 16215

Now multiplying the highest exponent prime factors to calculate the LCM of 16200 and 16215.

LCM(16200,16215) = 2³ × 3⁴ × 5² × 23¹ × 47¹
LCM(16200,16215) = 17512200