What is the Least Common Multiple of 14180 and 14200?

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 14180 and 14200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14180 and 14200, than apply into the LCM equation.

GCF(14180,14200) = 20
LCM(14180,14200) = ( 14180 × 14200) / 20
LCM(14180,14200) = 201356000 / 20
LCM(14180,14200) = 10067800

Least Common Multiple (LCM) of 14180 and 14200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14180 and 14200. First we will calculate the prime factors of 14180 and 14200.

Prime Factorization of 14180

Prime Factorization of 14200

Now multiplying the highest exponent prime factors to calculate the LCM of 14180 and 14200.

LCM(14180,14200) = 2³ × 5² × 709¹ × 71¹
LCM(14180,14200) = 10067800