What is the Least Common Multiple of 41085 and 41104?

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 41085 and 41104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41085 and 41104, than apply into the LCM equation.

GCF(41085,41104) = 1
LCM(41085,41104) = ( 41085 × 41104) / 1
LCM(41085,41104) = 1688757840 / 1
LCM(41085,41104) = 1688757840

Least Common Multiple (LCM) of 41085 and 41104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41085 and 41104. First we will calculate the prime factors of 41085 and 41104.

Prime Factorization of 41085

Prime Factorization of 41104

Now multiplying the highest exponent prime factors to calculate the LCM of 41085 and 41104.

LCM(41085,41104) = 3² × 5¹ × 11¹ × 83¹ × 2⁴ × 7¹ × 367¹
LCM(41085,41104) = 1688757840