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What is the Least Common Multiple of 331 and 344?

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 331 and 344 is 113864.

LCM(331,344) = 113864

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Least Common Multiple of 331 and 344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 344, than apply into the LCM equation.

GCF(331,344) = 1
LCM(331,344) = ( 331 × 344) / 1
LCM(331,344) = 113864 / 1
LCM(331,344) = 113864

Least Common Multiple (LCM) of 331 and 344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 344. First we will calculate the prime factors of 331 and 344.

Prime Factorization of 331

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Prime Factorization of 344

Prime factors of 344 are 2, 43. Prime factorization of 344 in exponential form is:

344 = 23 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 331 and 344.

LCM(331,344) = 3311 × 23 × 431
LCM(331,344) = 113864