What is the Least Common Multiple of 81005 and 81022?

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 81005 and 81022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81005 and 81022, than apply into the LCM equation.

GCF(81005,81022) = 17
LCM(81005,81022) = ( 81005 × 81022) / 17
LCM(81005,81022) = 6563187110 / 17
LCM(81005,81022) = 386069830

Least Common Multiple (LCM) of 81005 and 81022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81005 and 81022. First we will calculate the prime factors of 81005 and 81022.

Prime Factorization of 81005

Prime Factorization of 81022

Now multiplying the highest exponent prime factors to calculate the LCM of 81005 and 81022.

LCM(81005,81022) = 5¹ × 17¹ × 953¹ × 2¹ × 2383¹
LCM(81005,81022) = 386069830