What is the Least Common Multiple of 14200 and 14209?

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 14200 and 14209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14200 and 14209, than apply into the LCM equation.

GCF(14200,14209) = 1
LCM(14200,14209) = ( 14200 × 14209) / 1
LCM(14200,14209) = 201767800 / 1
LCM(14200,14209) = 201767800

Least Common Multiple (LCM) of 14200 and 14209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14200 and 14209. First we will calculate the prime factors of 14200 and 14209.

Prime Factorization of 14200

Prime Factorization of 14209

Now multiplying the highest exponent prime factors to calculate the LCM of 14200 and 14209.

LCM(14200,14209) = 2³ × 5² × 71¹ × 13¹ × 1093¹
LCM(14200,14209) = 201767800