What is the Least Common Multiple of 41104 and 41118?

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 41104 and 41118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41104 and 41118, than apply into the LCM equation.

GCF(41104,41118) = 14
LCM(41104,41118) = ( 41104 × 41118) / 14
LCM(41104,41118) = 1690114272 / 14
LCM(41104,41118) = 120722448

Least Common Multiple (LCM) of 41104 and 41118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41104 and 41118. First we will calculate the prime factors of 41104 and 41118.

Prime Factorization of 41104

Prime Factorization of 41118

Now multiplying the highest exponent prime factors to calculate the LCM of 41104 and 41118.

LCM(41104,41118) = 2⁴ × 7¹ × 367¹ × 3¹ × 11¹ × 89¹
LCM(41104,41118) = 120722448