What is the Least Common Multiple of 32064 and 32075?

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 32075 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 32075, than apply into the LCM equation.

GCF(32064,32075) = 1
LCM(32064,32075) = ( 32064 × 32075) / 1
LCM(32064,32075) = 1028452800 / 1
LCM(32064,32075) = 1028452800

Least Common Multiple (LCM) of 32064 and 32075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32064 and 32075. First we will calculate the prime factors of 32064 and 32075.

Prime Factorization of 32064

Prime Factorization of 32075

Now multiplying the highest exponent prime factors to calculate the LCM of 32064 and 32075.

LCM(32064,32075) = 2⁶ × 3¹ × 167¹ × 5² × 1283¹
LCM(32064,32075) = 1028452800