What is the Least Common Multiple of 10080 and 10099?

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 10080 and 10099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10080 and 10099, than apply into the LCM equation.

GCF(10080,10099) = 1
LCM(10080,10099) = ( 10080 × 10099) / 1
LCM(10080,10099) = 101797920 / 1
LCM(10080,10099) = 101797920

Least Common Multiple (LCM) of 10080 and 10099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10080 and 10099. First we will calculate the prime factors of 10080 and 10099.

Prime Factorization of 10080

Prime Factorization of 10099

Now multiplying the highest exponent prime factors to calculate the LCM of 10080 and 10099.

LCM(10080,10099) = 2⁵ × 3² × 5¹ × 7¹ × 10099¹
LCM(10080,10099) = 101797920