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What is the Least Common Multiple of 56805 and 56817?

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 56805 and 56817 is 1075829895.

LCM(56805,56817) = 1075829895

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Least Common Multiple of 56805 and 56817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56805 and 56817, than apply into the LCM equation.

GCF(56805,56817) = 3
LCM(56805,56817) = ( 56805 × 56817) / 3
LCM(56805,56817) = 3227489685 / 3
LCM(56805,56817) = 1075829895

Least Common Multiple (LCM) of 56805 and 56817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56805 and 56817. First we will calculate the prime factors of 56805 and 56817.

Prime Factorization of 56805

Prime factors of 56805 are 3, 5, 7, 541. Prime factorization of 56805 in exponential form is:

56805 = 31 × 51 × 71 × 5411

Prime Factorization of 56817

Prime factors of 56817 are 3, 59, 107. Prime factorization of 56817 in exponential form is:

56817 = 32 × 591 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 56805 and 56817.

LCM(56805,56817) = 32 × 51 × 71 × 5411 × 591 × 1071
LCM(56805,56817) = 1075829895