What is the Least Common Multiple of 14839 and 14854?

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 14839 and 14854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14839 and 14854, than apply into the LCM equation.

GCF(14839,14854) = 1
LCM(14839,14854) = ( 14839 × 14854) / 1
LCM(14839,14854) = 220418506 / 1
LCM(14839,14854) = 220418506

Least Common Multiple (LCM) of 14839 and 14854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14839 and 14854. First we will calculate the prime factors of 14839 and 14854.

Prime Factorization of 14839

Prime Factorization of 14854

Now multiplying the highest exponent prime factors to calculate the LCM of 14839 and 14854.

LCM(14839,14854) = 11¹ × 19¹ × 71¹ × 2¹ × 7¹ × 1061¹
LCM(14839,14854) = 220418506