What is the Least Common Multiple of 81172 and 81181?

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 81172 and 81181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81172 and 81181, than apply into the LCM equation.

GCF(81172,81181) = 1
LCM(81172,81181) = ( 81172 × 81181) / 1
LCM(81172,81181) = 6589624132 / 1
LCM(81172,81181) = 6589624132

Least Common Multiple (LCM) of 81172 and 81181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81172 and 81181. First we will calculate the prime factors of 81172 and 81181.

Prime Factorization of 81172

Prime Factorization of 81181

Now multiplying the highest exponent prime factors to calculate the LCM of 81172 and 81181.

LCM(81172,81181) = 2² × 7¹ × 13¹ × 223¹ × 81181¹
LCM(81172,81181) = 6589624132