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What is the Least Common Multiple of 56785 and 56793?

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 56785 and 56793 is 3224990505.

LCM(56785,56793) = 3224990505

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Least Common Multiple of 56785 and 56793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56785 and 56793, than apply into the LCM equation.

GCF(56785,56793) = 1
LCM(56785,56793) = ( 56785 × 56793) / 1
LCM(56785,56793) = 3224990505 / 1
LCM(56785,56793) = 3224990505

Least Common Multiple (LCM) of 56785 and 56793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56785 and 56793. First we will calculate the prime factors of 56785 and 56793.

Prime Factorization of 56785

Prime factors of 56785 are 5, 41, 277. Prime factorization of 56785 in exponential form is:

56785 = 51 × 411 × 2771

Prime Factorization of 56793

Prime factors of 56793 are 3, 11, 1721. Prime factorization of 56793 in exponential form is:

56793 = 31 × 111 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 56785 and 56793.

LCM(56785,56793) = 51 × 411 × 2771 × 31 × 111 × 17211
LCM(56785,56793) = 3224990505