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What is the Least Common Multiple of 25276 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 25276 and 25293 is 639305868.

LCM(25276,25293) = 639305868

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Least Common Multiple of 25276 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 25276 and 25293, than apply into the LCM equation.

GCF(25276,25293) = 1
LCM(25276,25293) = ( 25276 × 25293) / 1
LCM(25276,25293) = 639305868 / 1
LCM(25276,25293) = 639305868

Least Common Multiple (LCM) of 25276 and 25293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25276 and 25293. First we will calculate the prime factors of 25276 and 25293.

Prime Factorization of 25276

Prime factors of 25276 are 2, 71, 89. Prime factorization of 25276 in exponential form is:

25276 = 22 × 711 × 891

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 25276 and 25293.

LCM(25276,25293) = 22 × 711 × 891 × 31 × 84311
LCM(25276,25293) = 639305868