What is the Least Common Multiple of 66005 and 66020?

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 66005 and 66020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66005 and 66020, than apply into the LCM equation.

GCF(66005,66020) = 5
LCM(66005,66020) = ( 66005 × 66020) / 5
LCM(66005,66020) = 4357650100 / 5
LCM(66005,66020) = 871530020

Least Common Multiple (LCM) of 66005 and 66020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66005 and 66020. First we will calculate the prime factors of 66005 and 66020.

Prime Factorization of 66005

Prime Factorization of 66020

Now multiplying the highest exponent prime factors to calculate the LCM of 66005 and 66020.

LCM(66005,66020) = 5¹ × 43¹ × 307¹ × 2² × 3301¹
LCM(66005,66020) = 871530020