What is the Least Common Multiple of 41484 and 41493?

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 41484 and 41493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41484 and 41493, than apply into the LCM equation.

GCF(41484,41493) = 3
LCM(41484,41493) = ( 41484 × 41493) / 3
LCM(41484,41493) = 1721295612 / 3
LCM(41484,41493) = 573765204

Least Common Multiple (LCM) of 41484 and 41493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41484 and 41493. First we will calculate the prime factors of 41484 and 41493.

Prime Factorization of 41484

Prime Factorization of 41493

Now multiplying the highest exponent prime factors to calculate the LCM of 41484 and 41493.

LCM(41484,41493) = 2² × 3¹ × 3457¹ × 13831¹
LCM(41484,41493) = 573765204