What is the Least Common Multiple of 44694 and 44706?

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 44694 and 44706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44694 and 44706, than apply into the LCM equation.

GCF(44694,44706) = 6
LCM(44694,44706) = ( 44694 × 44706) / 6
LCM(44694,44706) = 1998089964 / 6
LCM(44694,44706) = 333014994

Least Common Multiple (LCM) of 44694 and 44706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44694 and 44706. First we will calculate the prime factors of 44694 and 44706.

Prime Factorization of 44694

Prime Factorization of 44706

Now multiplying the highest exponent prime factors to calculate the LCM of 44694 and 44706.

LCM(44694,44706) = 2¹ × 3² × 13¹ × 191¹ × 7451¹
LCM(44694,44706) = 333014994