What is the Least Common Multiple of 41550 and 41568?

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 41550 and 41568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41550 and 41568, than apply into the LCM equation.

GCF(41550,41568) = 6
LCM(41550,41568) = ( 41550 × 41568) / 6
LCM(41550,41568) = 1727150400 / 6
LCM(41550,41568) = 287858400

Least Common Multiple (LCM) of 41550 and 41568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41550 and 41568. First we will calculate the prime factors of 41550 and 41568.

Prime Factorization of 41550

Prime Factorization of 41568

Now multiplying the highest exponent prime factors to calculate the LCM of 41550 and 41568.

LCM(41550,41568) = 2⁵ × 3¹ × 5² × 277¹ × 433¹
LCM(41550,41568) = 287858400