What is the Least Common Multiple of 64565 and 64585?

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 64565 and 64585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64565 and 64585, than apply into the LCM equation.

GCF(64565,64585) = 5
LCM(64565,64585) = ( 64565 × 64585) / 5
LCM(64565,64585) = 4169930525 / 5
LCM(64565,64585) = 833986105

Least Common Multiple (LCM) of 64565 and 64585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64565 and 64585. First we will calculate the prime factors of 64565 and 64585.

Prime Factorization of 64565

Prime Factorization of 64585

Now multiplying the highest exponent prime factors to calculate the LCM of 64565 and 64585.

LCM(64565,64585) = 5¹ × 37¹ × 349¹ × 12917¹
LCM(64565,64585) = 833986105