What is the Least Common Multiple of 17442 and 17459?

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 17442 and 17459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17442 and 17459, than apply into the LCM equation.

GCF(17442,17459) = 17
LCM(17442,17459) = ( 17442 × 17459) / 17
LCM(17442,17459) = 304519878 / 17
LCM(17442,17459) = 17912934

Least Common Multiple (LCM) of 17442 and 17459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17442 and 17459. First we will calculate the prime factors of 17442 and 17459.

Prime Factorization of 17442

Prime Factorization of 17459

Now multiplying the highest exponent prime factors to calculate the LCM of 17442 and 17459.

LCM(17442,17459) = 2¹ × 3³ × 17¹ × 19¹ × 13¹ × 79¹
LCM(17442,17459) = 17912934