What is the Least Common Multiple of 17888 and 17893?

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 17888 and 17893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17888 and 17893, than apply into the LCM equation.

GCF(17888,17893) = 1
LCM(17888,17893) = ( 17888 × 17893) / 1
LCM(17888,17893) = 320069984 / 1
LCM(17888,17893) = 320069984

Least Common Multiple (LCM) of 17888 and 17893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17888 and 17893. First we will calculate the prime factors of 17888 and 17893.

Prime Factorization of 17888

Prime Factorization of 17893

Now multiplying the highest exponent prime factors to calculate the LCM of 17888 and 17893.

LCM(17888,17893) = 2⁵ × 13¹ × 43¹ × 29¹ × 617¹
LCM(17888,17893) = 320069984