What is the Least Common Multiple of 13056 and 13069?

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 13069 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 13069, than apply into the LCM equation.

GCF(13056,13069) = 1
LCM(13056,13069) = ( 13056 × 13069) / 1
LCM(13056,13069) = 170628864 / 1
LCM(13056,13069) = 170628864

Least Common Multiple (LCM) of 13056 and 13069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13056 and 13069. First we will calculate the prime factors of 13056 and 13069.

Prime Factorization of 13056

Prime Factorization of 13069

Now multiplying the highest exponent prime factors to calculate the LCM of 13056 and 13069.

LCM(13056,13069) = 2⁸ × 3¹ × 17¹ × 7¹ × 1867¹
LCM(13056,13069) = 170628864