What is the Least Common Multiple of 71999 and 72016?

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 71999 and 72016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71999 and 72016, than apply into the LCM equation.

GCF(71999,72016) = 1
LCM(71999,72016) = ( 71999 × 72016) / 1
LCM(71999,72016) = 5185079984 / 1
LCM(71999,72016) = 5185079984

Least Common Multiple (LCM) of 71999 and 72016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71999 and 72016. First we will calculate the prime factors of 71999 and 72016.

Prime Factorization of 71999

Prime Factorization of 72016

Now multiplying the highest exponent prime factors to calculate the LCM of 71999 and 72016.

LCM(71999,72016) = 71999¹ × 2⁴ × 7¹ × 643¹
LCM(71999,72016) = 5185079984