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What is the Least Common Multiple of 25357 and 25377?

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 25357 and 25377 is 643484589.

LCM(25357,25377) = 643484589

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Least Common Multiple of 25357 and 25377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25357 and 25377, than apply into the LCM equation.

GCF(25357,25377) = 1
LCM(25357,25377) = ( 25357 × 25377) / 1
LCM(25357,25377) = 643484589 / 1
LCM(25357,25377) = 643484589

Least Common Multiple (LCM) of 25357 and 25377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25357 and 25377. First we will calculate the prime factors of 25357 and 25377.

Prime Factorization of 25357

Prime factors of 25357 are 25357. Prime factorization of 25357 in exponential form is:

25357 = 253571

Prime Factorization of 25377

Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:

25377 = 31 × 111 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 25357 and 25377.

LCM(25357,25377) = 253571 × 31 × 111 × 7691
LCM(25357,25377) = 643484589