What is the Least Common Multiple of 20500 and 20510?

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 20500 and 20510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20500 and 20510, than apply into the LCM equation.

GCF(20500,20510) = 10
LCM(20500,20510) = ( 20500 × 20510) / 10
LCM(20500,20510) = 420455000 / 10
LCM(20500,20510) = 42045500

Least Common Multiple (LCM) of 20500 and 20510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20500 and 20510. First we will calculate the prime factors of 20500 and 20510.

Prime Factorization of 20500

Prime Factorization of 20510

Now multiplying the highest exponent prime factors to calculate the LCM of 20500 and 20510.

LCM(20500,20510) = 2² × 5³ × 41¹ × 7¹ × 293¹
LCM(20500,20510) = 42045500