What is the Least Common Multiple of 64589 and 64596?

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 64589 and 64596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64589 and 64596, than apply into the LCM equation.

GCF(64589,64596) = 7
LCM(64589,64596) = ( 64589 × 64596) / 7
LCM(64589,64596) = 4172191044 / 7
LCM(64589,64596) = 596027292

Least Common Multiple (LCM) of 64589 and 64596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64589 and 64596. First we will calculate the prime factors of 64589 and 64596.

Prime Factorization of 64589

Prime Factorization of 64596

Now multiplying the highest exponent prime factors to calculate the LCM of 64589 and 64596.

LCM(64589,64596) = 7¹ × 9227¹ × 2² × 3¹ × 769¹
LCM(64589,64596) = 596027292