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What is the Least Common Multiple of 56277 and 56284?

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 56277 and 56284 is 3167494668.

LCM(56277,56284) = 3167494668

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Least Common Multiple of 56277 and 56284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56277 and 56284, than apply into the LCM equation.

GCF(56277,56284) = 1
LCM(56277,56284) = ( 56277 × 56284) / 1
LCM(56277,56284) = 3167494668 / 1
LCM(56277,56284) = 3167494668

Least Common Multiple (LCM) of 56277 and 56284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56277 and 56284. First we will calculate the prime factors of 56277 and 56284.

Prime Factorization of 56277

Prime factors of 56277 are 3, 13, 37. Prime factorization of 56277 in exponential form is:

56277 = 32 × 132 × 371

Prime Factorization of 56284

Prime factors of 56284 are 2, 14071. Prime factorization of 56284 in exponential form is:

56284 = 22 × 140711

Now multiplying the highest exponent prime factors to calculate the LCM of 56277 and 56284.

LCM(56277,56284) = 32 × 132 × 371 × 22 × 140711
LCM(56277,56284) = 3167494668