What is the Least Common Multiple of 41328 and 41345?

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 41345 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 41345, than apply into the LCM equation.

GCF(41328,41345) = 1
LCM(41328,41345) = ( 41328 × 41345) / 1
LCM(41328,41345) = 1708706160 / 1
LCM(41328,41345) = 1708706160

Least Common Multiple (LCM) of 41328 and 41345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41328 and 41345. First we will calculate the prime factors of 41328 and 41345.

Prime Factorization of 41328

Prime Factorization of 41345

Now multiplying the highest exponent prime factors to calculate the LCM of 41328 and 41345.

LCM(41328,41345) = 2⁴ × 3² × 7¹ × 41¹ × 5¹ × 8269¹
LCM(41328,41345) = 1708706160