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What is the Least Common Multiple of 56835 and 56855?

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 56835 and 56855 is 646270785.

LCM(56835,56855) = 646270785

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Least Common Multiple of 56835 and 56855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56835 and 56855, than apply into the LCM equation.

GCF(56835,56855) = 5
LCM(56835,56855) = ( 56835 × 56855) / 5
LCM(56835,56855) = 3231353925 / 5
LCM(56835,56855) = 646270785

Least Common Multiple (LCM) of 56835 and 56855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56835 and 56855. First we will calculate the prime factors of 56835 and 56855.

Prime Factorization of 56835

Prime factors of 56835 are 3, 5, 421. Prime factorization of 56835 in exponential form is:

56835 = 33 × 51 × 4211

Prime Factorization of 56855

Prime factors of 56855 are 5, 83, 137. Prime factorization of 56855 in exponential form is:

56855 = 51 × 831 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 56835 and 56855.

LCM(56835,56855) = 33 × 51 × 4211 × 831 × 1371
LCM(56835,56855) = 646270785