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What is the Least Common Multiple of 10810 and 10826?

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 10810 and 10826 is 58514530.

LCM(10810,10826) = 58514530

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Least Common Multiple of 10810 and 10826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10810 and 10826, than apply into the LCM equation.

GCF(10810,10826) = 2
LCM(10810,10826) = ( 10810 × 10826) / 2
LCM(10810,10826) = 117029060 / 2
LCM(10810,10826) = 58514530

Least Common Multiple (LCM) of 10810 and 10826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10810 and 10826. First we will calculate the prime factors of 10810 and 10826.

Prime Factorization of 10810

Prime factors of 10810 are 2, 5, 23, 47. Prime factorization of 10810 in exponential form is:

10810 = 21 × 51 × 231 × 471

Prime Factorization of 10826

Prime factors of 10826 are 2, 5413. Prime factorization of 10826 in exponential form is:

10826 = 21 × 54131

Now multiplying the highest exponent prime factors to calculate the LCM of 10810 and 10826.

LCM(10810,10826) = 21 × 51 × 231 × 471 × 54131
LCM(10810,10826) = 58514530