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What is the Least Common Multiple of 25383 and 25403?

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 25383 and 25403 is 644804349.

LCM(25383,25403) = 644804349

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Least Common Multiple of 25383 and 25403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25383 and 25403, than apply into the LCM equation.

GCF(25383,25403) = 1
LCM(25383,25403) = ( 25383 × 25403) / 1
LCM(25383,25403) = 644804349 / 1
LCM(25383,25403) = 644804349

Least Common Multiple (LCM) of 25383 and 25403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25383 and 25403. First we will calculate the prime factors of 25383 and 25403.

Prime Factorization of 25383

Prime factors of 25383 are 3, 8461. Prime factorization of 25383 in exponential form is:

25383 = 31 × 84611

Prime Factorization of 25403

Prime factors of 25403 are 7, 19, 191. Prime factorization of 25403 in exponential form is:

25403 = 71 × 191 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 25383 and 25403.

LCM(25383,25403) = 31 × 84611 × 71 × 191 × 1911
LCM(25383,25403) = 644804349