What is the Least Common Multiple of 41565 and 41584?

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 41565 and 41584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41565 and 41584, than apply into the LCM equation.

GCF(41565,41584) = 1
LCM(41565,41584) = ( 41565 × 41584) / 1
LCM(41565,41584) = 1728438960 / 1
LCM(41565,41584) = 1728438960

Least Common Multiple (LCM) of 41565 and 41584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41565 and 41584. First we will calculate the prime factors of 41565 and 41584.

Prime Factorization of 41565

Prime Factorization of 41584

Now multiplying the highest exponent prime factors to calculate the LCM of 41565 and 41584.

LCM(41565,41584) = 3¹ × 5¹ × 17¹ × 163¹ × 2⁴ × 23¹ × 113¹
LCM(41565,41584) = 1728438960