What is the Least Common Multiple of 13312 and 13321?

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 13312 and 13321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13312 and 13321, than apply into the LCM equation.

GCF(13312,13321) = 1
LCM(13312,13321) = ( 13312 × 13321) / 1
LCM(13312,13321) = 177329152 / 1
LCM(13312,13321) = 177329152

Least Common Multiple (LCM) of 13312 and 13321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13312 and 13321. First we will calculate the prime factors of 13312 and 13321.

Prime Factorization of 13312

Prime Factorization of 13321

Now multiplying the highest exponent prime factors to calculate the LCM of 13312 and 13321.

LCM(13312,13321) = 2¹⁰ × 13¹ × 7¹ × 11¹ × 173¹
LCM(13312,13321) = 177329152