What is the Least Common Multiple of 60500 and 60510?

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 60500 and 60510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60500 and 60510, than apply into the LCM equation.

GCF(60500,60510) = 10
LCM(60500,60510) = ( 60500 × 60510) / 10
LCM(60500,60510) = 3660855000 / 10
LCM(60500,60510) = 366085500

Least Common Multiple (LCM) of 60500 and 60510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60500 and 60510. First we will calculate the prime factors of 60500 and 60510.

Prime Factorization of 60500

Prime Factorization of 60510

Now multiplying the highest exponent prime factors to calculate the LCM of 60500 and 60510.

LCM(60500,60510) = 2² × 5³ × 11² × 3¹ × 2017¹
LCM(60500,60510) = 366085500