What is the Least Common Multiple of 71116 and 71125?

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 71116 and 71125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71116 and 71125, than apply into the LCM equation.

GCF(71116,71125) = 1
LCM(71116,71125) = ( 71116 × 71125) / 1
LCM(71116,71125) = 5058125500 / 1
LCM(71116,71125) = 5058125500

Least Common Multiple (LCM) of 71116 and 71125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71116 and 71125. First we will calculate the prime factors of 71116 and 71125.

Prime Factorization of 71116

Prime Factorization of 71125

Now multiplying the highest exponent prime factors to calculate the LCM of 71116 and 71125.

LCM(71116,71125) = 2² × 23¹ × 773¹ × 5³ × 569¹
LCM(71116,71125) = 5058125500