What is the Least Common Multiple of 41760 and 41775?

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 41760 and 41775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41760 and 41775, than apply into the LCM equation.

GCF(41760,41775) = 15
LCM(41760,41775) = ( 41760 × 41775) / 15
LCM(41760,41775) = 1744524000 / 15
LCM(41760,41775) = 116301600

Least Common Multiple (LCM) of 41760 and 41775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41760 and 41775. First we will calculate the prime factors of 41760 and 41775.

Prime Factorization of 41760

Prime Factorization of 41775

Now multiplying the highest exponent prime factors to calculate the LCM of 41760 and 41775.

LCM(41760,41775) = 2⁵ × 3² × 5² × 29¹ × 557¹
LCM(41760,41775) = 116301600