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What is the Least Common Multiple of 25857 and 25877?

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 25857 and 25877 is 669101589.

LCM(25857,25877) = 669101589

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Least Common Multiple of 25857 and 25877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25857 and 25877, than apply into the LCM equation.

GCF(25857,25877) = 1
LCM(25857,25877) = ( 25857 × 25877) / 1
LCM(25857,25877) = 669101589 / 1
LCM(25857,25877) = 669101589

Least Common Multiple (LCM) of 25857 and 25877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25857 and 25877. First we will calculate the prime factors of 25857 and 25877.

Prime Factorization of 25857

Prime factors of 25857 are 3, 13, 17. Prime factorization of 25857 in exponential form is:

25857 = 32 × 132 × 171

Prime Factorization of 25877

Prime factors of 25877 are 113, 229. Prime factorization of 25877 in exponential form is:

25877 = 1131 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 25857 and 25877.

LCM(25857,25877) = 32 × 132 × 171 × 1131 × 2291
LCM(25857,25877) = 669101589