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What is the Least Common Multiple of 56798 and 56805?

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 56798 and 56805 is 460915770.

LCM(56798,56805) = 460915770

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Least Common Multiple of 56798 and 56805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56798 and 56805, than apply into the LCM equation.

GCF(56798,56805) = 7
LCM(56798,56805) = ( 56798 × 56805) / 7
LCM(56798,56805) = 3226410390 / 7
LCM(56798,56805) = 460915770

Least Common Multiple (LCM) of 56798 and 56805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56798 and 56805. First we will calculate the prime factors of 56798 and 56805.

Prime Factorization of 56798

Prime factors of 56798 are 2, 7, 4057. Prime factorization of 56798 in exponential form is:

56798 = 21 × 71 × 40571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 56798 and 56805.

LCM(56798,56805) = 21 × 71 × 40571 × 31 × 51 × 5411
LCM(56798,56805) = 460915770