What is the Least Common Multiple of 17888 and 17902?

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 17902 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 17902, than apply into the LCM equation.

GCF(17888,17902) = 2
LCM(17888,17902) = ( 17888 × 17902) / 2
LCM(17888,17902) = 320230976 / 2
LCM(17888,17902) = 160115488

Least Common Multiple (LCM) of 17888 and 17902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17888 and 17902. First we will calculate the prime factors of 17888 and 17902.

Prime Factorization of 17888

Prime Factorization of 17902

Now multiplying the highest exponent prime factors to calculate the LCM of 17888 and 17902.

LCM(17888,17902) = 2⁵ × 13¹ × 43¹ × 8951¹
LCM(17888,17902) = 160115488