What is the Least Common Multiple of 64288 and 64302?

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 64302 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 64302, than apply into the LCM equation.

GCF(64288,64302) = 14
LCM(64288,64302) = ( 64288 × 64302) / 14
LCM(64288,64302) = 4133846976 / 14
LCM(64288,64302) = 295274784

Least Common Multiple (LCM) of 64288 and 64302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64288 and 64302. First we will calculate the prime factors of 64288 and 64302.

Prime Factorization of 64288

Prime Factorization of 64302

Now multiplying the highest exponent prime factors to calculate the LCM of 64288 and 64302.

LCM(64288,64302) = 2⁵ × 7² × 41¹ × 3¹ × 1531¹
LCM(64288,64302) = 295274784