What is the Least Common Multiple of 14843 and 14858?

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 14843 and 14858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14843 and 14858, than apply into the LCM equation.

GCF(14843,14858) = 1
LCM(14843,14858) = ( 14843 × 14858) / 1
LCM(14843,14858) = 220537294 / 1
LCM(14843,14858) = 220537294

Least Common Multiple (LCM) of 14843 and 14858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14843 and 14858. First we will calculate the prime factors of 14843 and 14858.

Prime Factorization of 14843

Prime Factorization of 14858

Now multiplying the highest exponent prime factors to calculate the LCM of 14843 and 14858.

LCM(14843,14858) = 14843¹ × 2¹ × 17¹ × 19¹ × 23¹
LCM(14843,14858) = 220537294