What is the Least Common Multiple of 41328 and 41340?

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 41328 and 41340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41328 and 41340, than apply into the LCM equation.

GCF(41328,41340) = 12
LCM(41328,41340) = ( 41328 × 41340) / 12
LCM(41328,41340) = 1708499520 / 12
LCM(41328,41340) = 142374960

Least Common Multiple (LCM) of 41328 and 41340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41328 and 41340. First we will calculate the prime factors of 41328 and 41340.

Prime Factorization of 41328

Prime Factorization of 41340

Now multiplying the highest exponent prime factors to calculate the LCM of 41328 and 41340.

LCM(41328,41340) = 2⁴ × 3² × 7¹ × 41¹ × 5¹ × 13¹ × 53¹
LCM(41328,41340) = 142374960