What is the Least Common Multiple of 14259 and 14273?

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 14259 and 14273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14259 and 14273, than apply into the LCM equation.

GCF(14259,14273) = 7
LCM(14259,14273) = ( 14259 × 14273) / 7
LCM(14259,14273) = 203518707 / 7
LCM(14259,14273) = 29074101

Least Common Multiple (LCM) of 14259 and 14273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14259 and 14273. First we will calculate the prime factors of 14259 and 14273.

Prime Factorization of 14259

Prime Factorization of 14273

Now multiplying the highest exponent prime factors to calculate the LCM of 14259 and 14273.

LCM(14259,14273) = 3¹ × 7² × 97¹ × 2039¹
LCM(14259,14273) = 29074101