What is the Least Common Multiple of 13456 and 13471?

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 13456 and 13471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13456 and 13471, than apply into the LCM equation.

GCF(13456,13471) = 1
LCM(13456,13471) = ( 13456 × 13471) / 1
LCM(13456,13471) = 181265776 / 1
LCM(13456,13471) = 181265776

Least Common Multiple (LCM) of 13456 and 13471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13456 and 13471. First we will calculate the prime factors of 13456 and 13471.

Prime Factorization of 13456

Prime Factorization of 13471

Now multiplying the highest exponent prime factors to calculate the LCM of 13456 and 13471.

LCM(13456,13471) = 2⁴ × 29² × 19¹ × 709¹
LCM(13456,13471) = 181265776