What is the Least Common Multiple of 32691 and 32704?

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 32691 and 32704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32691 and 32704, than apply into the LCM equation.

GCF(32691,32704) = 1
LCM(32691,32704) = ( 32691 × 32704) / 1
LCM(32691,32704) = 1069126464 / 1
LCM(32691,32704) = 1069126464

Least Common Multiple (LCM) of 32691 and 32704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32691 and 32704. First we will calculate the prime factors of 32691 and 32704.

Prime Factorization of 32691

Prime Factorization of 32704

Now multiplying the highest exponent prime factors to calculate the LCM of 32691 and 32704.

LCM(32691,32704) = 3¹ × 17¹ × 641¹ × 2⁶ × 7¹ × 73¹
LCM(32691,32704) = 1069126464