What is the Least Common Multiple of 17888 and 17906?

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 17906 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 17906, than apply into the LCM equation.

GCF(17888,17906) = 2
LCM(17888,17906) = ( 17888 × 17906) / 2
LCM(17888,17906) = 320302528 / 2
LCM(17888,17906) = 160151264

Least Common Multiple (LCM) of 17888 and 17906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17888 and 17906. First we will calculate the prime factors of 17888 and 17906.

Prime Factorization of 17888

Prime Factorization of 17906

Now multiplying the highest exponent prime factors to calculate the LCM of 17888 and 17906.

LCM(17888,17906) = 2⁵ × 13¹ × 43¹ × 7¹ × 1279¹
LCM(17888,17906) = 160151264