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What is the Least Common Multiple of 25389 and 25396?

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 25389 and 25396 is 92111292.

LCM(25389,25396) = 92111292

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Least Common Multiple of 25389 and 25396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25389 and 25396, than apply into the LCM equation.

GCF(25389,25396) = 7
LCM(25389,25396) = ( 25389 × 25396) / 7
LCM(25389,25396) = 644779044 / 7
LCM(25389,25396) = 92111292

Least Common Multiple (LCM) of 25389 and 25396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25389 and 25396. First we will calculate the prime factors of 25389 and 25396.

Prime Factorization of 25389

Prime factors of 25389 are 3, 7, 13, 31. Prime factorization of 25389 in exponential form is:

25389 = 32 × 71 × 131 × 311

Prime Factorization of 25396

Prime factors of 25396 are 2, 7, 907. Prime factorization of 25396 in exponential form is:

25396 = 22 × 71 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 25389 and 25396.

LCM(25389,25396) = 32 × 71 × 131 × 311 × 22 × 9071
LCM(25389,25396) = 92111292