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What is the Least Common Multiple of 25823 and 25833?

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 25823 and 25833 is 667085559.

LCM(25823,25833) = 667085559

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Least Common Multiple of 25823 and 25833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25823 and 25833, than apply into the LCM equation.

GCF(25823,25833) = 1
LCM(25823,25833) = ( 25823 × 25833) / 1
LCM(25823,25833) = 667085559 / 1
LCM(25823,25833) = 667085559

Least Common Multiple (LCM) of 25823 and 25833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25823 and 25833. First we will calculate the prime factors of 25823 and 25833.

Prime Factorization of 25823

Prime factors of 25823 are 7, 17, 31. Prime factorization of 25823 in exponential form is:

25823 = 72 × 171 × 311

Prime Factorization of 25833

Prime factors of 25833 are 3, 79, 109. Prime factorization of 25833 in exponential form is:

25833 = 31 × 791 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 25823 and 25833.

LCM(25823,25833) = 72 × 171 × 311 × 31 × 791 × 1091
LCM(25823,25833) = 667085559