What is the Least Common Multiple of 20084 and 20104?

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 20084 and 20104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20084 and 20104, than apply into the LCM equation.

GCF(20084,20104) = 4
LCM(20084,20104) = ( 20084 × 20104) / 4
LCM(20084,20104) = 403768736 / 4
LCM(20084,20104) = 100942184

Least Common Multiple (LCM) of 20084 and 20104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20084 and 20104. First we will calculate the prime factors of 20084 and 20104.

Prime Factorization of 20084

Prime Factorization of 20104

Now multiplying the highest exponent prime factors to calculate the LCM of 20084 and 20104.

LCM(20084,20104) = 2³ × 5021¹ × 7¹ × 359¹
LCM(20084,20104) = 100942184