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What is the Least Common Multiple of 25879 and 25893?

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 25879 and 25893 is 95726421.

LCM(25879,25893) = 95726421

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Least Common Multiple of 25879 and 25893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25879 and 25893, than apply into the LCM equation.

GCF(25879,25893) = 7
LCM(25879,25893) = ( 25879 × 25893) / 7
LCM(25879,25893) = 670084947 / 7
LCM(25879,25893) = 95726421

Least Common Multiple (LCM) of 25879 and 25893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25879 and 25893. First we will calculate the prime factors of 25879 and 25893.

Prime Factorization of 25879

Prime factors of 25879 are 7, 3697. Prime factorization of 25879 in exponential form is:

25879 = 71 × 36971

Prime Factorization of 25893

Prime factors of 25893 are 3, 7, 137. Prime factorization of 25893 in exponential form is:

25893 = 33 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 25879 and 25893.

LCM(25879,25893) = 71 × 36971 × 33 × 1371
LCM(25879,25893) = 95726421