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What is the Least Common Multiple of 25369 and 25383?

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 25369 and 25383 is 643941327.

LCM(25369,25383) = 643941327

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Least Common Multiple of 25369 and 25383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25369 and 25383, than apply into the LCM equation.

GCF(25369,25383) = 1
LCM(25369,25383) = ( 25369 × 25383) / 1
LCM(25369,25383) = 643941327 / 1
LCM(25369,25383) = 643941327

Least Common Multiple (LCM) of 25369 and 25383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25369 and 25383. First we will calculate the prime factors of 25369 and 25383.

Prime Factorization of 25369

Prime factors of 25369 are 23, 1103. Prime factorization of 25369 in exponential form is:

25369 = 231 × 11031

Prime Factorization of 25383

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

25383 = 31 × 84611

Now multiplying the highest exponent prime factors to calculate the LCM of 25369 and 25383.

LCM(25369,25383) = 231 × 11031 × 31 × 84611
LCM(25369,25383) = 643941327