What is the Least Common Multiple of 20517 and 20530?

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 20517 and 20530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20517 and 20530, than apply into the LCM equation.

GCF(20517,20530) = 1
LCM(20517,20530) = ( 20517 × 20530) / 1
LCM(20517,20530) = 421214010 / 1
LCM(20517,20530) = 421214010

Least Common Multiple (LCM) of 20517 and 20530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20517 and 20530. First we will calculate the prime factors of 20517 and 20530.

Prime Factorization of 20517

Prime Factorization of 20530

Now multiplying the highest exponent prime factors to calculate the LCM of 20517 and 20530.

LCM(20517,20530) = 3¹ × 7¹ × 977¹ × 2¹ × 5¹ × 2053¹
LCM(20517,20530) = 421214010