What is the Least Common Multiple of 74080 and 74099?

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 74080 and 74099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74080 and 74099, than apply into the LCM equation.

GCF(74080,74099) = 1
LCM(74080,74099) = ( 74080 × 74099) / 1
LCM(74080,74099) = 5489253920 / 1
LCM(74080,74099) = 5489253920

Least Common Multiple (LCM) of 74080 and 74099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74080 and 74099. First we will calculate the prime factors of 74080 and 74099.

Prime Factorization of 74080

Prime Factorization of 74099

Now multiplying the highest exponent prime factors to calculate the LCM of 74080 and 74099.

LCM(74080,74099) = 2⁵ × 5¹ × 463¹ × 74099¹
LCM(74080,74099) = 5489253920