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What is the Least Common Multiple of 56263 and 56282?

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 56263 and 56282 is 3166594166.

LCM(56263,56282) = 3166594166

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Least Common Multiple of 56263 and 56282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56263 and 56282, than apply into the LCM equation.

GCF(56263,56282) = 1
LCM(56263,56282) = ( 56263 × 56282) / 1
LCM(56263,56282) = 3166594166 / 1
LCM(56263,56282) = 3166594166

Least Common Multiple (LCM) of 56263 and 56282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56263 and 56282. First we will calculate the prime factors of 56263 and 56282.

Prime Factorization of 56263

Prime factors of 56263 are 56263. Prime factorization of 56263 in exponential form is:

56263 = 562631

Prime Factorization of 56282

Prime factors of 56282 are 2, 107, 263. Prime factorization of 56282 in exponential form is:

56282 = 21 × 1071 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 56263 and 56282.

LCM(56263,56282) = 562631 × 21 × 1071 × 2631
LCM(56263,56282) = 3166594166