What is the Least Common Multiple of 64593 and 64608?

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 64608 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 64608, than apply into the LCM equation.

GCF(64593,64608) = 3
LCM(64593,64608) = ( 64593 × 64608) / 3
LCM(64593,64608) = 4173224544 / 3
LCM(64593,64608) = 1391074848

Least Common Multiple (LCM) of 64593 and 64608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64593 and 64608. First we will calculate the prime factors of 64593 and 64608.

Prime Factorization of 64593

Prime Factorization of 64608

Now multiplying the highest exponent prime factors to calculate the LCM of 64593 and 64608.

LCM(64593,64608) = 3² × 7177¹ × 2⁵ × 673¹
LCM(64593,64608) = 1391074848