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What is the Least Common Multiple of 56803 and 56813?

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 56813 is 3227148839.

LCM(56803,56813) = 3227148839

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Least Common Multiple of 56803 and 56813 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 56813, than apply into the LCM equation.

GCF(56803,56813) = 1
LCM(56803,56813) = ( 56803 × 56813) / 1
LCM(56803,56813) = 3227148839 / 1
LCM(56803,56813) = 3227148839

Least Common Multiple (LCM) of 56803 and 56813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56803 and 56813. First we will calculate the prime factors of 56803 and 56813.

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 56813

Prime factors of 56813 are 56813. Prime factorization of 56813 in exponential form is:

56813 = 568131

Now multiplying the highest exponent prime factors to calculate the LCM of 56803 and 56813.

LCM(56803,56813) = 431 × 13211 × 568131
LCM(56803,56813) = 3227148839