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What is the Least Common Multiple of 25833 and 25837?

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 25833 and 25837 is 667447221.

LCM(25833,25837) = 667447221

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Least Common Multiple of 25833 and 25837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25833 and 25837, than apply into the LCM equation.

GCF(25833,25837) = 1
LCM(25833,25837) = ( 25833 × 25837) / 1
LCM(25833,25837) = 667447221 / 1
LCM(25833,25837) = 667447221

Least Common Multiple (LCM) of 25833 and 25837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25833 and 25837. First we will calculate the prime factors of 25833 and 25837.

Prime Factorization of 25833

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

25833 = 31 × 791 × 1091

Prime Factorization of 25837

Prime factors of 25837 are 7, 3691. Prime factorization of 25837 in exponential form is:

25837 = 71 × 36911

Now multiplying the highest exponent prime factors to calculate the LCM of 25833 and 25837.

LCM(25833,25837) = 31 × 791 × 1091 × 71 × 36911
LCM(25833,25837) = 667447221