What is the Least Common Multiple of 13056 and 13071?

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 13056 and 13071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13056 and 13071, than apply into the LCM equation.

GCF(13056,13071) = 3
LCM(13056,13071) = ( 13056 × 13071) / 3
LCM(13056,13071) = 170654976 / 3
LCM(13056,13071) = 56884992

Least Common Multiple (LCM) of 13056 and 13071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13056 and 13071. First we will calculate the prime factors of 13056 and 13071.

Prime Factorization of 13056

Prime Factorization of 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 13056 and 13071.

LCM(13056,13071) = 2⁸ × 3¹ × 17¹ × 4357¹
LCM(13056,13071) = 56884992