What is the Least Common Multiple of 14210 and 14221?

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 14210 and 14221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14210 and 14221, than apply into the LCM equation.

GCF(14210,14221) = 1
LCM(14210,14221) = ( 14210 × 14221) / 1
LCM(14210,14221) = 202080410 / 1
LCM(14210,14221) = 202080410

Least Common Multiple (LCM) of 14210 and 14221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14210 and 14221. First we will calculate the prime factors of 14210 and 14221.

Prime Factorization of 14210

Prime Factorization of 14221

Now multiplying the highest exponent prime factors to calculate the LCM of 14210 and 14221.

LCM(14210,14221) = 2¹ × 5¹ × 7² × 29¹ × 14221¹
LCM(14210,14221) = 202080410