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What is the Least Common Multiple of 25870 and 25886?

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 25870 and 25886 is 334835410.

LCM(25870,25886) = 334835410

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Least Common Multiple of 25870 and 25886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25870 and 25886, than apply into the LCM equation.

GCF(25870,25886) = 2
LCM(25870,25886) = ( 25870 × 25886) / 2
LCM(25870,25886) = 669670820 / 2
LCM(25870,25886) = 334835410

Least Common Multiple (LCM) of 25870 and 25886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25870 and 25886. First we will calculate the prime factors of 25870 and 25886.

Prime Factorization of 25870

Prime factors of 25870 are 2, 5, 13, 199. Prime factorization of 25870 in exponential form is:

25870 = 21 × 51 × 131 × 1991

Prime Factorization of 25886

Prime factors of 25886 are 2, 7, 43. Prime factorization of 25886 in exponential form is:

25886 = 21 × 71 × 432

Now multiplying the highest exponent prime factors to calculate the LCM of 25870 and 25886.

LCM(25870,25886) = 21 × 51 × 131 × 1991 × 71 × 432
LCM(25870,25886) = 334835410