What is the Least Common Multiple of 19992 and 20005?

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 19992 and 20005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19992 and 20005, than apply into the LCM equation.

GCF(19992,20005) = 1
LCM(19992,20005) = ( 19992 × 20005) / 1
LCM(19992,20005) = 399939960 / 1
LCM(19992,20005) = 399939960

Least Common Multiple (LCM) of 19992 and 20005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19992 and 20005. First we will calculate the prime factors of 19992 and 20005.

Prime Factorization of 19992

Prime Factorization of 20005

Now multiplying the highest exponent prime factors to calculate the LCM of 19992 and 20005.

LCM(19992,20005) = 2³ × 3¹ × 7² × 17¹ × 5¹ × 4001¹
LCM(19992,20005) = 399939960