What is the Least Common Multiple of 64585 and 64593?

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 64585 and 64593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64585 and 64593, than apply into the LCM equation.

GCF(64585,64593) = 1
LCM(64585,64593) = ( 64585 × 64593) / 1
LCM(64585,64593) = 4171738905 / 1
LCM(64585,64593) = 4171738905

Least Common Multiple (LCM) of 64585 and 64593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64585 and 64593. First we will calculate the prime factors of 64585 and 64593.

Prime Factorization of 64585

Prime Factorization of 64593

Now multiplying the highest exponent prime factors to calculate the LCM of 64585 and 64593.

LCM(64585,64593) = 5¹ × 12917¹ × 3² × 7177¹
LCM(64585,64593) = 4171738905