What is the Least Common Multiple of 64585 and 64598?

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 64598 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 64598, than apply into the LCM equation.

GCF(64585,64598) = 1
LCM(64585,64598) = ( 64585 × 64598) / 1
LCM(64585,64598) = 4172061830 / 1
LCM(64585,64598) = 4172061830

Least Common Multiple (LCM) of 64585 and 64598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64585 and 64598. First we will calculate the prime factors of 64585 and 64598.

Prime Factorization of 64585

Prime Factorization of 64598

Now multiplying the highest exponent prime factors to calculate the LCM of 64585 and 64598.

LCM(64585,64598) = 5¹ × 12917¹ × 2¹ × 32299¹
LCM(64585,64598) = 4172061830