What is the Least Common Multiple of 16180 and 16200?

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 16180 and 16200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16180 and 16200, than apply into the LCM equation.

GCF(16180,16200) = 20
LCM(16180,16200) = ( 16180 × 16200) / 20
LCM(16180,16200) = 262116000 / 20
LCM(16180,16200) = 13105800

Least Common Multiple (LCM) of 16180 and 16200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16180 and 16200. First we will calculate the prime factors of 16180 and 16200.

Prime Factorization of 16180

Prime Factorization of 16200

Now multiplying the highest exponent prime factors to calculate the LCM of 16180 and 16200.

LCM(16180,16200) = 2³ × 5² × 809¹ × 3⁴
LCM(16180,16200) = 13105800