What is the Least Common Multiple of 14735 and 14743?

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 14735 and 14743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14735 and 14743, than apply into the LCM equation.

GCF(14735,14743) = 1
LCM(14735,14743) = ( 14735 × 14743) / 1
LCM(14735,14743) = 217238105 / 1
LCM(14735,14743) = 217238105

Least Common Multiple (LCM) of 14735 and 14743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14735 and 14743. First we will calculate the prime factors of 14735 and 14743.

Prime Factorization of 14735

Prime Factorization of 14743

Now multiplying the highest exponent prime factors to calculate the LCM of 14735 and 14743.

LCM(14735,14743) = 5¹ × 7¹ × 421¹ × 23¹ × 641¹
LCM(14735,14743) = 217238105