What is the Least Common Multiple of 44694 and 44711?

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 44711 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 44711, than apply into the LCM equation.

GCF(44694,44711) = 1
LCM(44694,44711) = ( 44694 × 44711) / 1
LCM(44694,44711) = 1998313434 / 1
LCM(44694,44711) = 1998313434

Least Common Multiple (LCM) of 44694 and 44711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44694 and 44711. First we will calculate the prime factors of 44694 and 44711.

Prime Factorization of 44694

Prime Factorization of 44711

Now multiplying the highest exponent prime factors to calculate the LCM of 44694 and 44711.

LCM(44694,44711) = 2¹ × 3² × 13¹ × 191¹ × 44711¹
LCM(44694,44711) = 1998313434