What is the Least Common Multiple of 13450 and 13459?

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 13450 and 13459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13450 and 13459, than apply into the LCM equation.

GCF(13450,13459) = 1
LCM(13450,13459) = ( 13450 × 13459) / 1
LCM(13450,13459) = 181023550 / 1
LCM(13450,13459) = 181023550

Least Common Multiple (LCM) of 13450 and 13459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13450 and 13459. First we will calculate the prime factors of 13450 and 13459.

Prime Factorization of 13450

Prime Factorization of 13459

Now multiplying the highest exponent prime factors to calculate the LCM of 13450 and 13459.

LCM(13450,13459) = 2¹ × 5² × 269¹ × 43¹ × 313¹
LCM(13450,13459) = 181023550