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What is the Least Common Multiple of 10334 and 10346?

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 10346 is 53457782.

LCM(10334,10346) = 53457782

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Least Common Multiple of 10334 and 10346 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 10346, than apply into the LCM equation.

GCF(10334,10346) = 2
LCM(10334,10346) = ( 10334 × 10346) / 2
LCM(10334,10346) = 106915564 / 2
LCM(10334,10346) = 53457782

Least Common Multiple (LCM) of 10334 and 10346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10334 and 10346. First we will calculate the prime factors of 10334 and 10346.

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 10346

Prime factors of 10346 are 2, 7, 739. Prime factorization of 10346 in exponential form is:

10346 = 21 × 71 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 10334 and 10346.

LCM(10334,10346) = 21 × 51671 × 71 × 7391
LCM(10334,10346) = 53457782