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What is the Least Common Multiple of 25352 and 25358?

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 25352 and 25358 is 321438008.

LCM(25352,25358) = 321438008

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Least Common Multiple of 25352 and 25358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25352 and 25358, than apply into the LCM equation.

GCF(25352,25358) = 2
LCM(25352,25358) = ( 25352 × 25358) / 2
LCM(25352,25358) = 642876016 / 2
LCM(25352,25358) = 321438008

Least Common Multiple (LCM) of 25352 and 25358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25352 and 25358. First we will calculate the prime factors of 25352 and 25358.

Prime Factorization of 25352

Prime factors of 25352 are 2, 3169. Prime factorization of 25352 in exponential form is:

25352 = 23 × 31691

Prime Factorization of 25358

Prime factors of 25358 are 2, 31, 409. Prime factorization of 25358 in exponential form is:

25358 = 21 × 311 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 25352 and 25358.

LCM(25352,25358) = 23 × 31691 × 311 × 4091
LCM(25352,25358) = 321438008