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What is the Least Common Multiple of 56339 and 56353?

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 56339 and 56353 is 3174871667.

LCM(56339,56353) = 3174871667

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Least Common Multiple of 56339 and 56353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56339 and 56353, than apply into the LCM equation.

GCF(56339,56353) = 1
LCM(56339,56353) = ( 56339 × 56353) / 1
LCM(56339,56353) = 3174871667 / 1
LCM(56339,56353) = 3174871667

Least Common Multiple (LCM) of 56339 and 56353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56339 and 56353. First we will calculate the prime factors of 56339 and 56353.

Prime Factorization of 56339

Prime factors of 56339 are 53, 1063. Prime factorization of 56339 in exponential form is:

56339 = 531 × 10631

Prime Factorization of 56353

Prime factors of 56353 are 11, 47, 109. Prime factorization of 56353 in exponential form is:

56353 = 111 × 471 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 56339 and 56353.

LCM(56339,56353) = 531 × 10631 × 111 × 471 × 1091
LCM(56339,56353) = 3174871667