What is the Least Common Multiple of 13088 and 13104?

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 13088 and 13104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13088 and 13104, than apply into the LCM equation.

GCF(13088,13104) = 16
LCM(13088,13104) = ( 13088 × 13104) / 16
LCM(13088,13104) = 171505152 / 16
LCM(13088,13104) = 10719072

Least Common Multiple (LCM) of 13088 and 13104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13088 and 13104. First we will calculate the prime factors of 13088 and 13104.

Prime Factorization of 13088

Prime Factorization of 13104

Now multiplying the highest exponent prime factors to calculate the LCM of 13088 and 13104.

LCM(13088,13104) = 2⁵ × 409¹ × 3² × 7¹ × 13¹
LCM(13088,13104) = 10719072