What is the Least Common Multiple of 32064 and 32073?

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 32073 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 32073, than apply into the LCM equation.

GCF(32064,32073) = 3
LCM(32064,32073) = ( 32064 × 32073) / 3
LCM(32064,32073) = 1028388672 / 3
LCM(32064,32073) = 342796224

Least Common Multiple (LCM) of 32064 and 32073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32064 and 32073. First we will calculate the prime factors of 32064 and 32073.

Prime Factorization of 32064

Prime Factorization of 32073

Now multiplying the highest exponent prime factors to calculate the LCM of 32064 and 32073.

LCM(32064,32073) = 2⁶ × 3¹ × 167¹ × 10691¹
LCM(32064,32073) = 342796224