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What is the Least Common Multiple of 25875 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 25875 and 25893 is 74442375.

LCM(25875,25893) = 74442375

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Least Common Multiple of 25875 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 25875 and 25893, than apply into the LCM equation.

GCF(25875,25893) = 9
LCM(25875,25893) = ( 25875 × 25893) / 9
LCM(25875,25893) = 669981375 / 9
LCM(25875,25893) = 74442375

Least Common Multiple (LCM) of 25875 and 25893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25875 and 25893. First we will calculate the prime factors of 25875 and 25893.

Prime Factorization of 25875

Prime factors of 25875 are 3, 5, 23. Prime factorization of 25875 in exponential form is:

25875 = 32 × 53 × 231

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 25875 and 25893.

LCM(25875,25893) = 33 × 53 × 231 × 71 × 1371
LCM(25875,25893) = 74442375