What is the Least Common Multiple of 81143 and 81162?

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 81143 and 81162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81143 and 81162, than apply into the LCM equation.

GCF(81143,81162) = 1
LCM(81143,81162) = ( 81143 × 81162) / 1
LCM(81143,81162) = 6585728166 / 1
LCM(81143,81162) = 6585728166

Least Common Multiple (LCM) of 81143 and 81162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81143 and 81162. First we will calculate the prime factors of 81143 and 81162.

Prime Factorization of 81143

Prime Factorization of 81162

Now multiplying the highest exponent prime factors to calculate the LCM of 81143 and 81162.

LCM(81143,81162) = 53¹ × 1531¹ × 2¹ × 3⁵ × 167¹
LCM(81143,81162) = 6585728166