What is the Least Common Multiple of 81114 and 81133?

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 81114 and 81133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81114 and 81133, than apply into the LCM equation.

GCF(81114,81133) = 1
LCM(81114,81133) = ( 81114 × 81133) / 1
LCM(81114,81133) = 6581022162 / 1
LCM(81114,81133) = 6581022162

Least Common Multiple (LCM) of 81114 and 81133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81114 and 81133. First we will calculate the prime factors of 81114 and 81133.

Prime Factorization of 81114

Prime Factorization of 81133

Now multiplying the highest exponent prime factors to calculate the LCM of 81114 and 81133.

LCM(81114,81133) = 2¹ × 3¹ × 11¹ × 1229¹ × 13¹ × 79²
LCM(81114,81133) = 6581022162