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What is the Least Common Multiple of 56893 and 56903?

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 56893 and 56903 is 3237382379.

LCM(56893,56903) = 3237382379

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Least Common Multiple of 56893 and 56903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56893 and 56903, than apply into the LCM equation.

GCF(56893,56903) = 1
LCM(56893,56903) = ( 56893 × 56903) / 1
LCM(56893,56903) = 3237382379 / 1
LCM(56893,56903) = 3237382379

Least Common Multiple (LCM) of 56893 and 56903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56893 and 56903. First we will calculate the prime factors of 56893 and 56903.

Prime Factorization of 56893

Prime factors of 56893 are 56893. Prime factorization of 56893 in exponential form is:

56893 = 568931

Prime Factorization of 56903

Prime factors of 56903 are 7, 11, 739. Prime factorization of 56903 in exponential form is:

56903 = 71 × 111 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 56893 and 56903.

LCM(56893,56903) = 568931 × 71 × 111 × 7391
LCM(56893,56903) = 3237382379