What is the Least Common Multiple of 15093 and 15097?

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 15093 and 15097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15093 and 15097, than apply into the LCM equation.

GCF(15093,15097) = 1
LCM(15093,15097) = ( 15093 × 15097) / 1
LCM(15093,15097) = 227859021 / 1
LCM(15093,15097) = 227859021

Least Common Multiple (LCM) of 15093 and 15097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15093 and 15097. First we will calculate the prime factors of 15093 and 15097.

Prime Factorization of 15093

Prime Factorization of 15097

Now multiplying the highest exponent prime factors to calculate the LCM of 15093 and 15097.

LCM(15093,15097) = 3³ × 13¹ × 43¹ × 31¹ × 487¹
LCM(15093,15097) = 227859021