What is the Least Common Multiple of 20600 and 20615?

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 20600 and 20615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20600 and 20615, than apply into the LCM equation.

GCF(20600,20615) = 5
LCM(20600,20615) = ( 20600 × 20615) / 5
LCM(20600,20615) = 424669000 / 5
LCM(20600,20615) = 84933800

Least Common Multiple (LCM) of 20600 and 20615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20600 and 20615. First we will calculate the prime factors of 20600 and 20615.

Prime Factorization of 20600

Prime Factorization of 20615

Now multiplying the highest exponent prime factors to calculate the LCM of 20600 and 20615.

LCM(20600,20615) = 2³ × 5² × 103¹ × 7¹ × 19¹ × 31¹
LCM(20600,20615) = 84933800