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What is the Least Common Multiple of 25282 and 25292?

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 25282 and 25292 is 319716172.

LCM(25282,25292) = 319716172

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Least Common Multiple of 25282 and 25292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25282 and 25292, than apply into the LCM equation.

GCF(25282,25292) = 2
LCM(25282,25292) = ( 25282 × 25292) / 2
LCM(25282,25292) = 639432344 / 2
LCM(25282,25292) = 319716172

Least Common Multiple (LCM) of 25282 and 25292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25282 and 25292. First we will calculate the prime factors of 25282 and 25292.

Prime Factorization of 25282

Prime factors of 25282 are 2, 12641. Prime factorization of 25282 in exponential form is:

25282 = 21 × 126411

Prime Factorization of 25292

Prime factors of 25292 are 2, 6323. Prime factorization of 25292 in exponential form is:

25292 = 22 × 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 25282 and 25292.

LCM(25282,25292) = 22 × 126411 × 63231
LCM(25282,25292) = 319716172