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What is the Least Common Multiple of 25277 and 25294?

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 25277 and 25294 is 639356438.

LCM(25277,25294) = 639356438

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Least Common Multiple of 25277 and 25294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25277 and 25294, than apply into the LCM equation.

GCF(25277,25294) = 1
LCM(25277,25294) = ( 25277 × 25294) / 1
LCM(25277,25294) = 639356438 / 1
LCM(25277,25294) = 639356438

Least Common Multiple (LCM) of 25277 and 25294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25277 and 25294. First we will calculate the prime factors of 25277 and 25294.

Prime Factorization of 25277

Prime factors of 25277 are 7, 23, 157. Prime factorization of 25277 in exponential form is:

25277 = 71 × 231 × 1571

Prime Factorization of 25294

Prime factors of 25294 are 2, 12647. Prime factorization of 25294 in exponential form is:

25294 = 21 × 126471

Now multiplying the highest exponent prime factors to calculate the LCM of 25277 and 25294.

LCM(25277,25294) = 71 × 231 × 1571 × 21 × 126471
LCM(25277,25294) = 639356438