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What is the Least Common Multiple of 5278 and 5294?

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 5278 and 5294 is 13970866.

LCM(5278,5294) = 13970866

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Least Common Multiple of 5278 and 5294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5278 and 5294, than apply into the LCM equation.

GCF(5278,5294) = 2
LCM(5278,5294) = ( 5278 × 5294) / 2
LCM(5278,5294) = 27941732 / 2
LCM(5278,5294) = 13970866

Least Common Multiple (LCM) of 5278 and 5294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5278 and 5294. First we will calculate the prime factors of 5278 and 5294.

Prime Factorization of 5278

Prime factors of 5278 are 2, 7, 13, 29. Prime factorization of 5278 in exponential form is:

5278 = 21 × 71 × 131 × 291

Prime Factorization of 5294

Prime factors of 5294 are 2, 2647. Prime factorization of 5294 in exponential form is:

5294 = 21 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 5278 and 5294.

LCM(5278,5294) = 21 × 71 × 131 × 291 × 26471
LCM(5278,5294) = 13970866