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What is the Least Common Multiple of 10334 and 10344?

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 10334 and 10344 is 53447448.

LCM(10334,10344) = 53447448

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Least Common Multiple of 10334 and 10344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10334 and 10344, than apply into the LCM equation.

GCF(10334,10344) = 2
LCM(10334,10344) = ( 10334 × 10344) / 2
LCM(10334,10344) = 106894896 / 2
LCM(10334,10344) = 53447448

Least Common Multiple (LCM) of 10334 and 10344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10334 and 10344. First we will calculate the prime factors of 10334 and 10344.

Prime Factorization of 10334

Prime factors of 10334 are 2, 5167. Prime factorization of 10334 in exponential form is:

10334 = 21 × 51671

Prime Factorization of 10344

Prime factors of 10344 are 2, 3, 431. Prime factorization of 10344 in exponential form is:

10344 = 23 × 31 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 10334 and 10344.

LCM(10334,10344) = 23 × 51671 × 31 × 4311
LCM(10334,10344) = 53447448