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What is the Least Common Multiple of 10810 and 10828?

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 10828 is 58525340.

LCM(10810,10828) = 58525340

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Least Common Multiple of 10810 and 10828 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 10828, than apply into the LCM equation.

GCF(10810,10828) = 2
LCM(10810,10828) = ( 10810 × 10828) / 2
LCM(10810,10828) = 117050680 / 2
LCM(10810,10828) = 58525340

Least Common Multiple (LCM) of 10810 and 10828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10810 and 10828. First we will calculate the prime factors of 10810 and 10828.

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 10828

Prime factors of 10828 are 2, 2707. Prime factorization of 10828 in exponential form is:

10828 = 22 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 10810 and 10828.

LCM(10810,10828) = 22 × 51 × 231 × 471 × 27071
LCM(10810,10828) = 58525340