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What is the Least Common Multiple of 56790 and 56803?

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 56790 and 56803 is 3225842370.

LCM(56790,56803) = 3225842370

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Least Common Multiple of 56790 and 56803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56790 and 56803, than apply into the LCM equation.

GCF(56790,56803) = 1
LCM(56790,56803) = ( 56790 × 56803) / 1
LCM(56790,56803) = 3225842370 / 1
LCM(56790,56803) = 3225842370

Least Common Multiple (LCM) of 56790 and 56803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56790 and 56803. First we will calculate the prime factors of 56790 and 56803.

Prime Factorization of 56790

Prime factors of 56790 are 2, 3, 5, 631. Prime factorization of 56790 in exponential form is:

56790 = 21 × 32 × 51 × 6311

Prime Factorization of 56803

Prime factors of 56803 are 43, 1321. Prime factorization of 56803 in exponential form is:

56803 = 431 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 56790 and 56803.

LCM(56790,56803) = 21 × 32 × 51 × 6311 × 431 × 13211
LCM(56790,56803) = 3225842370