What is the Least Common Multiple of 64288 and 64294?

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 64288 and 64294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64288 and 64294, than apply into the LCM equation.

GCF(64288,64294) = 2
LCM(64288,64294) = ( 64288 × 64294) / 2
LCM(64288,64294) = 4133332672 / 2
LCM(64288,64294) = 2066666336

Least Common Multiple (LCM) of 64288 and 64294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64288 and 64294. First we will calculate the prime factors of 64288 and 64294.

Prime Factorization of 64288

Prime Factorization of 64294

Now multiplying the highest exponent prime factors to calculate the LCM of 64288 and 64294.

LCM(64288,64294) = 2⁵ × 7² × 41¹ × 17¹ × 31¹ × 61¹
LCM(64288,64294) = 2066666336