What is the Least Common Multiple of 41448 and 41459?

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 41459 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 41459, than apply into the LCM equation.

GCF(41448,41459) = 11
LCM(41448,41459) = ( 41448 × 41459) / 11
LCM(41448,41459) = 1718392632 / 11
LCM(41448,41459) = 156217512

Least Common Multiple (LCM) of 41448 and 41459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41448 and 41459. First we will calculate the prime factors of 41448 and 41459.

Prime Factorization of 41448

Prime Factorization of 41459

Now multiplying the highest exponent prime factors to calculate the LCM of 41448 and 41459.

LCM(41448,41459) = 2³ × 3¹ × 11¹ × 157¹ × 3769¹
LCM(41448,41459) = 156217512