What is the Least Common Multiple of 66489 and 66500?

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 66489 and 66500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66489 and 66500, than apply into the LCM equation.

GCF(66489,66500) = 1
LCM(66489,66500) = ( 66489 × 66500) / 1
LCM(66489,66500) = 4421518500 / 1
LCM(66489,66500) = 4421518500

Least Common Multiple (LCM) of 66489 and 66500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66489 and 66500. First we will calculate the prime factors of 66489 and 66500.

Prime Factorization of 66489

Prime Factorization of 66500

Now multiplying the highest exponent prime factors to calculate the LCM of 66489 and 66500.

LCM(66489,66500) = 3¹ × 37¹ × 599¹ × 2² × 5³ × 7¹ × 19¹
LCM(66489,66500) = 4421518500