What is the Least Common Multiple of 71125 and 71145?

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 71125 and 71145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71125 and 71145, than apply into the LCM equation.

GCF(71125,71145) = 5
LCM(71125,71145) = ( 71125 × 71145) / 5
LCM(71125,71145) = 5060188125 / 5
LCM(71125,71145) = 1012037625

Least Common Multiple (LCM) of 71125 and 71145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71125 and 71145. First we will calculate the prime factors of 71125 and 71145.

Prime Factorization of 71125

Prime Factorization of 71145

Now multiplying the highest exponent prime factors to calculate the LCM of 71125 and 71145.

LCM(71125,71145) = 5³ × 569¹ × 3³ × 17¹ × 31¹
LCM(71125,71145) = 1012037625