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What is the Least Common Multiple of 25383 and 25394?

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 25394 is 644575902.

LCM(25383,25394) = 644575902

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Least Common Multiple of 25383 and 25394 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 25394, than apply into the LCM equation.

GCF(25383,25394) = 1
LCM(25383,25394) = ( 25383 × 25394) / 1
LCM(25383,25394) = 644575902 / 1
LCM(25383,25394) = 644575902

Least Common Multiple (LCM) of 25383 and 25394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25383 and 25394. First we will calculate the prime factors of 25383 and 25394.

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 25394

Prime factors of 25394 are 2, 12697. Prime factorization of 25394 in exponential form is:

25394 = 21 × 126971

Now multiplying the highest exponent prime factors to calculate the LCM of 25383 and 25394.

LCM(25383,25394) = 31 × 84611 × 21 × 126971
LCM(25383,25394) = 644575902