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What is the Least Common Multiple of 56399 and 56403?

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 56399 and 56403 is 3181072797.

LCM(56399,56403) = 3181072797

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Least Common Multiple of 56399 and 56403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56399 and 56403, than apply into the LCM equation.

GCF(56399,56403) = 1
LCM(56399,56403) = ( 56399 × 56403) / 1
LCM(56399,56403) = 3181072797 / 1
LCM(56399,56403) = 3181072797

Least Common Multiple (LCM) of 56399 and 56403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56399 and 56403. First we will calculate the prime factors of 56399 and 56403.

Prime Factorization of 56399

Prime factors of 56399 are 7, 1151. Prime factorization of 56399 in exponential form is:

56399 = 72 × 11511

Prime Factorization of 56403

Prime factors of 56403 are 3, 2089. Prime factorization of 56403 in exponential form is:

56403 = 33 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 56399 and 56403.

LCM(56399,56403) = 72 × 11511 × 33 × 20891
LCM(56399,56403) = 3181072797