What is the Least Common Multiple of 66500 and 66510?

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 66500 and 66510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66500 and 66510, than apply into the LCM equation.

GCF(66500,66510) = 10
LCM(66500,66510) = ( 66500 × 66510) / 10
LCM(66500,66510) = 4422915000 / 10
LCM(66500,66510) = 442291500

Least Common Multiple (LCM) of 66500 and 66510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66500 and 66510. First we will calculate the prime factors of 66500 and 66510.

Prime Factorization of 66500

Prime Factorization of 66510

Now multiplying the highest exponent prime factors to calculate the LCM of 66500 and 66510.

LCM(66500,66510) = 2² × 5³ × 7¹ × 19¹ × 3² × 739¹
LCM(66500,66510) = 442291500