What is the Least Common Multiple of 17906 and 17918?

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 17906 and 17918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17906 and 17918, than apply into the LCM equation.

GCF(17906,17918) = 2
LCM(17906,17918) = ( 17906 × 17918) / 2
LCM(17906,17918) = 320839708 / 2
LCM(17906,17918) = 160419854

Least Common Multiple (LCM) of 17906 and 17918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17906 and 17918. First we will calculate the prime factors of 17906 and 17918.

Prime Factorization of 17906

Prime Factorization of 17918

Now multiplying the highest exponent prime factors to calculate the LCM of 17906 and 17918.

LCM(17906,17918) = 2¹ × 7¹ × 1279¹ × 17² × 31¹
LCM(17906,17918) = 160419854