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What is the Least Common Multiple of 56336 and 56345?

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 56336 and 56345 is 3174251920.

LCM(56336,56345) = 3174251920

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Least Common Multiple of 56336 and 56345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56336 and 56345, than apply into the LCM equation.

GCF(56336,56345) = 1
LCM(56336,56345) = ( 56336 × 56345) / 1
LCM(56336,56345) = 3174251920 / 1
LCM(56336,56345) = 3174251920

Least Common Multiple (LCM) of 56336 and 56345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56336 and 56345. First we will calculate the prime factors of 56336 and 56345.

Prime Factorization of 56336

Prime factors of 56336 are 2, 7, 503. Prime factorization of 56336 in exponential form is:

56336 = 24 × 71 × 5031

Prime Factorization of 56345

Prime factors of 56345 are 5, 59, 191. Prime factorization of 56345 in exponential form is:

56345 = 51 × 591 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 56336 and 56345.

LCM(56336,56345) = 24 × 71 × 5031 × 51 × 591 × 1911
LCM(56336,56345) = 3174251920