What is the Least Common Multiple of 17123 and 17136?

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 17123 and 17136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17123 and 17136, than apply into the LCM equation.

GCF(17123,17136) = 1
LCM(17123,17136) = ( 17123 × 17136) / 1
LCM(17123,17136) = 293419728 / 1
LCM(17123,17136) = 293419728

Least Common Multiple (LCM) of 17123 and 17136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17123 and 17136. First we will calculate the prime factors of 17123 and 17136.

Prime Factorization of 17123

Prime Factorization of 17136

Now multiplying the highest exponent prime factors to calculate the LCM of 17123 and 17136.

LCM(17123,17136) = 17123¹ × 2⁴ × 3² × 7¹ × 17¹
LCM(17123,17136) = 293419728