What is the Least Common Multiple of 41568 and 41575?

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 41568 and 41575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41568 and 41575, than apply into the LCM equation.

GCF(41568,41575) = 1
LCM(41568,41575) = ( 41568 × 41575) / 1
LCM(41568,41575) = 1728189600 / 1
LCM(41568,41575) = 1728189600

Least Common Multiple (LCM) of 41568 and 41575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41568 and 41575. First we will calculate the prime factors of 41568 and 41575.

Prime Factorization of 41568

Prime Factorization of 41575

Now multiplying the highest exponent prime factors to calculate the LCM of 41568 and 41575.

LCM(41568,41575) = 2⁵ × 3¹ × 433¹ × 5² × 1663¹
LCM(41568,41575) = 1728189600