What is the Least Common Multiple of 20008 and 20012?

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 20008 and 20012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20008 and 20012, than apply into the LCM equation.

GCF(20008,20012) = 4
LCM(20008,20012) = ( 20008 × 20012) / 4
LCM(20008,20012) = 400400096 / 4
LCM(20008,20012) = 100100024

Least Common Multiple (LCM) of 20008 and 20012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20008 and 20012. First we will calculate the prime factors of 20008 and 20012.

Prime Factorization of 20008

Prime Factorization of 20012

Now multiplying the highest exponent prime factors to calculate the LCM of 20008 and 20012.

LCM(20008,20012) = 2³ × 41¹ × 61¹ × 5003¹
LCM(20008,20012) = 100100024