What is the Least Common Multiple of 64385 and 64390?

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 64385 and 64390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64385 and 64390, than apply into the LCM equation.

GCF(64385,64390) = 5
LCM(64385,64390) = ( 64385 × 64390) / 5
LCM(64385,64390) = 4145750150 / 5
LCM(64385,64390) = 829150030

Least Common Multiple (LCM) of 64385 and 64390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64385 and 64390. First we will calculate the prime factors of 64385 and 64390.

Prime Factorization of 64385

Prime Factorization of 64390

Now multiplying the highest exponent prime factors to calculate the LCM of 64385 and 64390.

LCM(64385,64390) = 5¹ × 79¹ × 163¹ × 2¹ × 47¹ × 137¹
LCM(64385,64390) = 829150030