What is the Least Common Multiple of 32585 and 32604?

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 32585 and 32604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32585 and 32604, than apply into the LCM equation.

GCF(32585,32604) = 19
LCM(32585,32604) = ( 32585 × 32604) / 19
LCM(32585,32604) = 1062401340 / 19
LCM(32585,32604) = 55915860

Least Common Multiple (LCM) of 32585 and 32604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32585 and 32604. First we will calculate the prime factors of 32585 and 32604.

Prime Factorization of 32585

Prime Factorization of 32604

Now multiplying the highest exponent prime factors to calculate the LCM of 32585 and 32604.

LCM(32585,32604) = 5¹ × 7³ × 19¹ × 2² × 3¹ × 11¹ × 13¹
LCM(32585,32604) = 55915860