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What is the Least Common Multiple of 25869 and 25875?

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 25869 and 25875 is 223120125.

LCM(25869,25875) = 223120125

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Least Common Multiple of 25869 and 25875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25869 and 25875, than apply into the LCM equation.

GCF(25869,25875) = 3
LCM(25869,25875) = ( 25869 × 25875) / 3
LCM(25869,25875) = 669360375 / 3
LCM(25869,25875) = 223120125

Least Common Multiple (LCM) of 25869 and 25875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25869 and 25875. First we will calculate the prime factors of 25869 and 25875.

Prime Factorization of 25869

Prime factors of 25869 are 3, 8623. Prime factorization of 25869 in exponential form is:

25869 = 31 × 86231

Prime Factorization of 25875

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

25875 = 32 × 53 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 25869 and 25875.

LCM(25869,25875) = 32 × 86231 × 53 × 231
LCM(25869,25875) = 223120125