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What is the Least Common Multiple of 10334 and 10345?

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 10345 is 106905230.

LCM(10334,10345) = 106905230

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Least Common Multiple of 10334 and 10345 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 10345, than apply into the LCM equation.

GCF(10334,10345) = 1
LCM(10334,10345) = ( 10334 × 10345) / 1
LCM(10334,10345) = 106905230 / 1
LCM(10334,10345) = 106905230

Least Common Multiple (LCM) of 10334 and 10345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10334 and 10345. First we will calculate the prime factors of 10334 and 10345.

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 10345

Prime factors of 10345 are 5, 2069. Prime factorization of 10345 in exponential form is:

10345 = 51 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 10334 and 10345.

LCM(10334,10345) = 21 × 51671 × 51 × 20691
LCM(10334,10345) = 106905230