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Least Common Multiple of 5812 and 5812

Least common multiple (LCM) of 5812 and 5812 is 5812.

LCM(5812,5812) = 5812

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.

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Least Common Multiple of 5812 and 5812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5812 and 5812, than apply into the LCM equation.

GCF(5812,5812) = 5812
LCM(5812,5812) = ( 5812 × 5812) / 5812
LCM(5812,5812) = 33779344 / 5812
LCM(5812,5812) = 5812

Least Common Multiple (LCM) of 5812 and 5812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5812 and 5812. First we will calculate the prime factors of 5812 and 5812.

Prime Factorization of 5812

Prime factors of 5812 are 2, 1453. Prime factorization of 5812 in exponential form is:

5812 = 22 × 14531

Prime Factorization of 5812

Prime factors of 5812 are 2, 1453. Prime factorization of 5812 in exponential form is:

5812 = 22 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 5812 and 5812.

LCM(5812,5812) = 22 × 14531
LCM(5812,5812) = 5812

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Karishma 2019-07-21 04:10:50

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