What is the Least Common Multiple of 17888 and 17907?

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 17907 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 17907, than apply into the LCM equation.

GCF(17888,17907) = 1
LCM(17888,17907) = ( 17888 × 17907) / 1
LCM(17888,17907) = 320320416 / 1
LCM(17888,17907) = 320320416

Least Common Multiple (LCM) of 17888 and 17907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17888 and 17907. First we will calculate the prime factors of 17888 and 17907.

Prime Factorization of 17888

Prime Factorization of 17907

Now multiplying the highest exponent prime factors to calculate the LCM of 17888 and 17907.

LCM(17888,17907) = 2⁵ × 13¹ × 43¹ × 3¹ × 47¹ × 127¹
LCM(17888,17907) = 320320416