What is the Least Common Multiple of 14217 and 14235?

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 14217 and 14235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14217 and 14235, than apply into the LCM equation.

GCF(14217,14235) = 3
LCM(14217,14235) = ( 14217 × 14235) / 3
LCM(14217,14235) = 202378995 / 3
LCM(14217,14235) = 67459665

Least Common Multiple (LCM) of 14217 and 14235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14217 and 14235. First we will calculate the prime factors of 14217 and 14235.

Prime Factorization of 14217

Prime Factorization of 14235

Now multiplying the highest exponent prime factors to calculate the LCM of 14217 and 14235.

LCM(14217,14235) = 3¹ × 7¹ × 677¹ × 5¹ × 13¹ × 73¹
LCM(14217,14235) = 67459665