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What is the Least Common Multiple of 56278 and 56294?

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 56278 and 56294 is 1584056866.

LCM(56278,56294) = 1584056866

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Least Common Multiple of 56278 and 56294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56278 and 56294, than apply into the LCM equation.

GCF(56278,56294) = 2
LCM(56278,56294) = ( 56278 × 56294) / 2
LCM(56278,56294) = 3168113732 / 2
LCM(56278,56294) = 1584056866

Least Common Multiple (LCM) of 56278 and 56294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56278 and 56294. First we will calculate the prime factors of 56278 and 56294.

Prime Factorization of 56278

Prime factors of 56278 are 2, 19, 1481. Prime factorization of 56278 in exponential form is:

56278 = 21 × 191 × 14811

Prime Factorization of 56294

Prime factors of 56294 are 2, 7, 4021. Prime factorization of 56294 in exponential form is:

56294 = 21 × 71 × 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 56278 and 56294.

LCM(56278,56294) = 21 × 191 × 14811 × 71 × 40211
LCM(56278,56294) = 1584056866