What is the Least Common Multiple of 14728 and 14742?

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 14728 and 14742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14728 and 14742, than apply into the LCM equation.

GCF(14728,14742) = 14
LCM(14728,14742) = ( 14728 × 14742) / 14
LCM(14728,14742) = 217120176 / 14
LCM(14728,14742) = 15508584

Least Common Multiple (LCM) of 14728 and 14742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14728 and 14742. First we will calculate the prime factors of 14728 and 14742.

Prime Factorization of 14728

Prime Factorization of 14742

Now multiplying the highest exponent prime factors to calculate the LCM of 14728 and 14742.

LCM(14728,14742) = 2³ × 7¹ × 263¹ × 3⁴ × 13¹
LCM(14728,14742) = 15508584