What is the Least Common Multiple of 99005 and 99020?

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 99005 and 99020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99005 and 99020, than apply into the LCM equation.

GCF(99005,99020) = 5
LCM(99005,99020) = ( 99005 × 99020) / 5
LCM(99005,99020) = 9803475100 / 5
LCM(99005,99020) = 1960695020

Least Common Multiple (LCM) of 99005 and 99020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99005 and 99020. First we will calculate the prime factors of 99005 and 99020.

Prime Factorization of 99005

Prime Factorization of 99020

Now multiplying the highest exponent prime factors to calculate the LCM of 99005 and 99020.

LCM(99005,99020) = 5¹ × 19801¹ × 2² × 4951¹
LCM(99005,99020) = 1960695020