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What is the Least Common Multiple of 25317 and 25337?

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 25317 and 25337 is 641456829.

LCM(25317,25337) = 641456829

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Least Common Multiple of 25317 and 25337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25317 and 25337, than apply into the LCM equation.

GCF(25317,25337) = 1
LCM(25317,25337) = ( 25317 × 25337) / 1
LCM(25317,25337) = 641456829 / 1
LCM(25317,25337) = 641456829

Least Common Multiple (LCM) of 25317 and 25337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25317 and 25337. First we will calculate the prime factors of 25317 and 25337.

Prime Factorization of 25317

Prime factors of 25317 are 3, 29, 97. Prime factorization of 25317 in exponential form is:

25317 = 32 × 291 × 971

Prime Factorization of 25337

Prime factors of 25337 are 13, 1949. Prime factorization of 25337 in exponential form is:

25337 = 131 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 25317 and 25337.

LCM(25317,25337) = 32 × 291 × 971 × 131 × 19491
LCM(25317,25337) = 641456829