What is the Least Common Multiple of 32808 and 32817?

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 32808 and 32817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32808 and 32817, than apply into the LCM equation.

GCF(32808,32817) = 3
LCM(32808,32817) = ( 32808 × 32817) / 3
LCM(32808,32817) = 1076660136 / 3
LCM(32808,32817) = 358886712

Least Common Multiple (LCM) of 32808 and 32817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32808 and 32817. First we will calculate the prime factors of 32808 and 32817.

Prime Factorization of 32808

Prime Factorization of 32817

Now multiplying the highest exponent prime factors to calculate the LCM of 32808 and 32817.

LCM(32808,32817) = 2³ × 3¹ × 1367¹ × 10939¹
LCM(32808,32817) = 358886712