What is the Least Common Multiple of 13038 and 13056?

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 13038 and 13056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13038 and 13056, than apply into the LCM equation.

GCF(13038,13056) = 6
LCM(13038,13056) = ( 13038 × 13056) / 6
LCM(13038,13056) = 170224128 / 6
LCM(13038,13056) = 28370688

Least Common Multiple (LCM) of 13038 and 13056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13038 and 13056. First we will calculate the prime factors of 13038 and 13056.

Prime Factorization of 13038

Prime Factorization of 13056

Now multiplying the highest exponent prime factors to calculate the LCM of 13038 and 13056.

LCM(13038,13056) = 2⁸ × 3¹ × 41¹ × 53¹ × 17¹
LCM(13038,13056) = 28370688