What is the Least Common Multiple of 41448 and 41454?

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 41448 and 41454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41448 and 41454, than apply into the LCM equation.

GCF(41448,41454) = 6
LCM(41448,41454) = ( 41448 × 41454) / 6
LCM(41448,41454) = 1718185392 / 6
LCM(41448,41454) = 286364232

Least Common Multiple (LCM) of 41448 and 41454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41448 and 41454. First we will calculate the prime factors of 41448 and 41454.

Prime Factorization of 41448

Prime Factorization of 41454

Now multiplying the highest exponent prime factors to calculate the LCM of 41448 and 41454.

LCM(41448,41454) = 2³ × 3² × 11¹ × 157¹ × 7² × 47¹
LCM(41448,41454) = 286364232