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What is the Least Common Multiple of 62813 and 62826?

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 62813 and 62826 is 3946289538.

LCM(62813,62826) = 3946289538

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Least Common Multiple of 62813 and 62826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62813 and 62826, than apply into the LCM equation.

GCF(62813,62826) = 1
LCM(62813,62826) = ( 62813 × 62826) / 1
LCM(62813,62826) = 3946289538 / 1
LCM(62813,62826) = 3946289538

Least Common Multiple (LCM) of 62813 and 62826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62813 and 62826. First we will calculate the prime factors of 62813 and 62826.

Prime Factorization of 62813

Prime factors of 62813 are 23, 2731. Prime factorization of 62813 in exponential form is:

62813 = 231 × 27311

Prime Factorization of 62826

Prime factors of 62826 are 2, 3, 37, 283. Prime factorization of 62826 in exponential form is:

62826 = 21 × 31 × 371 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 62813 and 62826.

LCM(62813,62826) = 231 × 27311 × 21 × 31 × 371 × 2831
LCM(62813,62826) = 3946289538