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What is the Least Common Multiple of 25870 and 25887?

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 25887 is 669696690.

LCM(25870,25887) = 669696690

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Least Common Multiple of 25870 and 25887 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 25887, than apply into the LCM equation.

GCF(25870,25887) = 1
LCM(25870,25887) = ( 25870 × 25887) / 1
LCM(25870,25887) = 669696690 / 1
LCM(25870,25887) = 669696690

Least Common Multiple (LCM) of 25870 and 25887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25870 and 25887. First we will calculate the prime factors of 25870 and 25887.

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 25887

Prime factors of 25887 are 3, 8629. Prime factorization of 25887 in exponential form is:

25887 = 31 × 86291

Now multiplying the highest exponent prime factors to calculate the LCM of 25870 and 25887.

LCM(25870,25887) = 21 × 51 × 131 × 1991 × 31 × 86291
LCM(25870,25887) = 669696690