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What is the Least Common Multiple of 56283 and 56291?

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 56283 and 56291 is 3168226353.

LCM(56283,56291) = 3168226353

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Least Common Multiple of 56283 and 56291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56283 and 56291, than apply into the LCM equation.

GCF(56283,56291) = 1
LCM(56283,56291) = ( 56283 × 56291) / 1
LCM(56283,56291) = 3168226353 / 1
LCM(56283,56291) = 3168226353

Least Common Multiple (LCM) of 56283 and 56291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56283 and 56291. First we will calculate the prime factors of 56283 and 56291.

Prime Factorization of 56283

Prime factors of 56283 are 3, 73, 257. Prime factorization of 56283 in exponential form is:

56283 = 31 × 731 × 2571

Prime Factorization of 56291

Prime factors of 56291 are 181, 311. Prime factorization of 56291 in exponential form is:

56291 = 1811 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 56283 and 56291.

LCM(56283,56291) = 31 × 731 × 2571 × 1811 × 3111
LCM(56283,56291) = 3168226353