What is the Least Common Multiple of 41982 and 41989?

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 41982 and 41989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41982 and 41989, than apply into the LCM equation.

GCF(41982,41989) = 1
LCM(41982,41989) = ( 41982 × 41989) / 1
LCM(41982,41989) = 1762782198 / 1
LCM(41982,41989) = 1762782198

Least Common Multiple (LCM) of 41982 and 41989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41982 and 41989. First we will calculate the prime factors of 41982 and 41989.

Prime Factorization of 41982

Prime Factorization of 41989

Now multiplying the highest exponent prime factors to calculate the LCM of 41982 and 41989.

LCM(41982,41989) = 2¹ × 3¹ × 6997¹ × 199¹ × 211¹
LCM(41982,41989) = 1762782198