What is the Least Common Multiple of 17810 and 17826?

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 17810 and 17826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17810 and 17826, than apply into the LCM equation.

GCF(17810,17826) = 2
LCM(17810,17826) = ( 17810 × 17826) / 2
LCM(17810,17826) = 317481060 / 2
LCM(17810,17826) = 158740530

Least Common Multiple (LCM) of 17810 and 17826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17810 and 17826. First we will calculate the prime factors of 17810 and 17826.

Prime Factorization of 17810

Prime Factorization of 17826

Now multiplying the highest exponent prime factors to calculate the LCM of 17810 and 17826.

LCM(17810,17826) = 2¹ × 5¹ × 13¹ × 137¹ × 3¹ × 2971¹
LCM(17810,17826) = 158740530