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What is the Least Common Multiple of 25284 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 25284 and 25292 is 159870732.

LCM(25284,25292) = 159870732

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Least Common Multiple of 25284 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 25284 and 25292, than apply into the LCM equation.

GCF(25284,25292) = 4
LCM(25284,25292) = ( 25284 × 25292) / 4
LCM(25284,25292) = 639482928 / 4
LCM(25284,25292) = 159870732

Least Common Multiple (LCM) of 25284 and 25292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25284 and 25292. First we will calculate the prime factors of 25284 and 25292.

Prime Factorization of 25284

Prime factors of 25284 are 2, 3, 7, 43. Prime factorization of 25284 in exponential form is:

25284 = 22 × 31 × 72 × 431

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 25284 and 25292.

LCM(25284,25292) = 22 × 31 × 72 × 431 × 63231
LCM(25284,25292) = 159870732