What is the Least Common Multiple of 32064 and 32069?

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 32064 and 32069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32064 and 32069, than apply into the LCM equation.

GCF(32064,32069) = 1
LCM(32064,32069) = ( 32064 × 32069) / 1
LCM(32064,32069) = 1028260416 / 1
LCM(32064,32069) = 1028260416

Least Common Multiple (LCM) of 32064 and 32069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32064 and 32069. First we will calculate the prime factors of 32064 and 32069.

Prime Factorization of 32064

Prime Factorization of 32069

Now multiplying the highest exponent prime factors to calculate the LCM of 32064 and 32069.

LCM(32064,32069) = 2⁶ × 3¹ × 167¹ × 32069¹
LCM(32064,32069) = 1028260416