What is the Least Common Multiple of 41082 and 41098?

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 41082 and 41098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41082 and 41098, than apply into the LCM equation.

GCF(41082,41098) = 2
LCM(41082,41098) = ( 41082 × 41098) / 2
LCM(41082,41098) = 1688388036 / 2
LCM(41082,41098) = 844194018

Least Common Multiple (LCM) of 41082 and 41098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41082 and 41098. First we will calculate the prime factors of 41082 and 41098.

Prime Factorization of 41082

Prime Factorization of 41098

Now multiplying the highest exponent prime factors to calculate the LCM of 41082 and 41098.

LCM(41082,41098) = 2¹ × 3¹ × 41¹ × 167¹ × 20549¹
LCM(41082,41098) = 844194018