What is the Least Common Multiple of 64589 and 64597?

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 64597 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 64597, than apply into the LCM equation.

GCF(64589,64597) = 1
LCM(64589,64597) = ( 64589 × 64597) / 1
LCM(64589,64597) = 4172255633 / 1
LCM(64589,64597) = 4172255633

Least Common Multiple (LCM) of 64589 and 64597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64589 and 64597. First we will calculate the prime factors of 64589 and 64597.

Prime Factorization of 64589

Prime Factorization of 64597

Now multiplying the highest exponent prime factors to calculate the LCM of 64589 and 64597.

LCM(64589,64597) = 7¹ × 9227¹ × 13¹ × 4969¹
LCM(64589,64597) = 4172255633