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What is the Least Common Multiple of 13328 and 13333?

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 (LCM) of 13328 and 13333 is 177702224.

LCM(13328,13333) = 177702224

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Least Common Multiple of 13328 and 13333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13328 and 13333, than apply into the LCM equation.

GCF(13328,13333) = 1
LCM(13328,13333) = ( 13328 × 13333) / 1
LCM(13328,13333) = 177702224 / 1
LCM(13328,13333) = 177702224

Least Common Multiple (LCM) of 13328 and 13333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13328 and 13333. First we will calculate the prime factors of 13328 and 13333.

Prime Factorization of 13328

Prime factors of 13328 are 2, 7, 17. Prime factorization of 13328 in exponential form is:

13328 = 24 × 72 × 171

Prime Factorization of 13333

Prime factors of 13333 are 67, 199. Prime factorization of 13333 in exponential form is:

13333 = 671 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 13328 and 13333.

LCM(13328,13333) = 24 × 72 × 171 × 671 × 1991
LCM(13328,13333) = 177702224