What is the Least Common Multiple of 32565 and 32584?

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 32565 and 32584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32565 and 32584, than apply into the LCM equation.

GCF(32565,32584) = 1
LCM(32565,32584) = ( 32565 × 32584) / 1
LCM(32565,32584) = 1061097960 / 1
LCM(32565,32584) = 1061097960

Least Common Multiple (LCM) of 32565 and 32584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32565 and 32584. First we will calculate the prime factors of 32565 and 32584.

Prime Factorization of 32565

Prime Factorization of 32584

Now multiplying the highest exponent prime factors to calculate the LCM of 32565 and 32584.

LCM(32565,32584) = 3¹ × 5¹ × 13¹ × 167¹ × 2³ × 4073¹
LCM(32565,32584) = 1061097960