What is the Least Common Multiple of 64593 and 64611?

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 64593 and 64611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64593 and 64611, than apply into the LCM equation.

GCF(64593,64611) = 9
LCM(64593,64611) = ( 64593 × 64611) / 9
LCM(64593,64611) = 4173418323 / 9
LCM(64593,64611) = 463713147

Least Common Multiple (LCM) of 64593 and 64611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64593 and 64611. First we will calculate the prime factors of 64593 and 64611.

Prime Factorization of 64593

Prime Factorization of 64611

Now multiplying the highest exponent prime factors to calculate the LCM of 64593 and 64611.

LCM(64593,64611) = 3³ × 7177¹ × 2393¹
LCM(64593,64611) = 463713147