What is the Least Common Multiple of 19999 and 20016?

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 19999 and 20016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19999 and 20016, than apply into the LCM equation.

GCF(19999,20016) = 1
LCM(19999,20016) = ( 19999 × 20016) / 1
LCM(19999,20016) = 400299984 / 1
LCM(19999,20016) = 400299984

Least Common Multiple (LCM) of 19999 and 20016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19999 and 20016. First we will calculate the prime factors of 19999 and 20016.

Prime Factorization of 19999

Prime Factorization of 20016

Now multiplying the highest exponent prime factors to calculate the LCM of 19999 and 20016.

LCM(19999,20016) = 7¹ × 2857¹ × 2⁴ × 3² × 139¹
LCM(19999,20016) = 400299984