What is the Least Common Multiple of 41568 and 41578?

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 41578 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 41578, than apply into the LCM equation.

GCF(41568,41578) = 2
LCM(41568,41578) = ( 41568 × 41578) / 2
LCM(41568,41578) = 1728314304 / 2
LCM(41568,41578) = 864157152

Least Common Multiple (LCM) of 41568 and 41578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41568 and 41578. First we will calculate the prime factors of 41568 and 41578.

Prime Factorization of 41568

Prime Factorization of 41578

Now multiplying the highest exponent prime factors to calculate the LCM of 41568 and 41578.

LCM(41568,41578) = 2⁵ × 3¹ × 433¹ × 20789¹
LCM(41568,41578) = 864157152