What is the Least Common Multiple of 13447 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 13447 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 13447 and 13459, than apply into the LCM equation.

GCF(13447,13459) = 1
LCM(13447,13459) = ( 13447 × 13459) / 1
LCM(13447,13459) = 180983173 / 1
LCM(13447,13459) = 180983173

Least Common Multiple (LCM) of 13447 and 13459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13447 and 13459. First we will calculate the prime factors of 13447 and 13459.

Prime Factorization of 13447

Prime Factorization of 13459

Now multiplying the highest exponent prime factors to calculate the LCM of 13447 and 13459.

LCM(13447,13459) = 7¹ × 17¹ × 113¹ × 43¹ × 313¹
LCM(13447,13459) = 180983173