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What is the Least Common Multiple of 56803 and 56814?

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 56803 and 56814 is 3227205642.

LCM(56803,56814) = 3227205642

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Least Common Multiple of 56803 and 56814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56803 and 56814, than apply into the LCM equation.

GCF(56803,56814) = 1
LCM(56803,56814) = ( 56803 × 56814) / 1
LCM(56803,56814) = 3227205642 / 1
LCM(56803,56814) = 3227205642

Least Common Multiple (LCM) of 56803 and 56814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56803 and 56814. First we will calculate the prime factors of 56803 and 56814.

Prime Factorization of 56803

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

56803 = 431 × 13211

Prime Factorization of 56814

Prime factors of 56814 are 2, 3, 17, 557. Prime factorization of 56814 in exponential form is:

56814 = 21 × 31 × 171 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 56803 and 56814.

LCM(56803,56814) = 431 × 13211 × 21 × 31 × 171 × 5571
LCM(56803,56814) = 3227205642