What is the Least Common Multiple of 64288 and 64295?

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 64295 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 64295, than apply into the LCM equation.

GCF(64288,64295) = 7
LCM(64288,64295) = ( 64288 × 64295) / 7
LCM(64288,64295) = 4133396960 / 7
LCM(64288,64295) = 590485280

Least Common Multiple (LCM) of 64288 and 64295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64288 and 64295. First we will calculate the prime factors of 64288 and 64295.

Prime Factorization of 64288

Prime Factorization of 64295

Now multiplying the highest exponent prime factors to calculate the LCM of 64288 and 64295.

LCM(64288,64295) = 2⁵ × 7² × 41¹ × 5¹ × 11¹ × 167¹
LCM(64288,64295) = 590485280