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What is the Least Common Multiple of 25274 and 25293?

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 25274 and 25293 is 639255282.

LCM(25274,25293) = 639255282

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Least Common Multiple of 25274 and 25293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25274 and 25293, than apply into the LCM equation.

GCF(25274,25293) = 1
LCM(25274,25293) = ( 25274 × 25293) / 1
LCM(25274,25293) = 639255282 / 1
LCM(25274,25293) = 639255282

Least Common Multiple (LCM) of 25274 and 25293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25274 and 25293. First we will calculate the prime factors of 25274 and 25293.

Prime Factorization of 25274

Prime factors of 25274 are 2, 12637. Prime factorization of 25274 in exponential form is:

25274 = 21 × 126371

Prime Factorization of 25293

Prime factors of 25293 are 3, 8431. Prime factorization of 25293 in exponential form is:

25293 = 31 × 84311

Now multiplying the highest exponent prime factors to calculate the LCM of 25274 and 25293.

LCM(25274,25293) = 21 × 126371 × 31 × 84311
LCM(25274,25293) = 639255282