What is the Least Common Multiple of 64344 and 64351?

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 64344 and 64351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64344 and 64351, than apply into the LCM equation.

GCF(64344,64351) = 7
LCM(64344,64351) = ( 64344 × 64351) / 7
LCM(64344,64351) = 4140600744 / 7
LCM(64344,64351) = 591514392

Least Common Multiple (LCM) of 64344 and 64351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64344 and 64351. First we will calculate the prime factors of 64344 and 64351.

Prime Factorization of 64344

Prime Factorization of 64351

Now multiplying the highest exponent prime factors to calculate the LCM of 64344 and 64351.

LCM(64344,64351) = 2³ × 3¹ × 7¹ × 383¹ × 29¹ × 317¹
LCM(64344,64351) = 591514392