What is the Least Common Multiple of 14210 and 14217?

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 14217 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 14217, than apply into the LCM equation.

GCF(14210,14217) = 7
LCM(14210,14217) = ( 14210 × 14217) / 7
LCM(14210,14217) = 202023570 / 7
LCM(14210,14217) = 28860510

Least Common Multiple (LCM) of 14210 and 14217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14210 and 14217. First we will calculate the prime factors of 14210 and 14217.

Prime Factorization of 14210

Prime Factorization of 14217

Now multiplying the highest exponent prime factors to calculate the LCM of 14210 and 14217.

LCM(14210,14217) = 2¹ × 5¹ × 7² × 29¹ × 3¹ × 677¹
LCM(14210,14217) = 28860510