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What is the Least Common Multiple of 56843 and 56859?

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 56843 and 56859 is 3232036137.

LCM(56843,56859) = 3232036137

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Least Common Multiple of 56843 and 56859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56843 and 56859, than apply into the LCM equation.

GCF(56843,56859) = 1
LCM(56843,56859) = ( 56843 × 56859) / 1
LCM(56843,56859) = 3232036137 / 1
LCM(56843,56859) = 3232036137

Least Common Multiple (LCM) of 56843 and 56859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56843 and 56859. First we will calculate the prime factors of 56843 and 56859.

Prime Factorization of 56843

Prime factors of 56843 are 56843. Prime factorization of 56843 in exponential form is:

56843 = 568431

Prime Factorization of 56859

Prime factors of 56859 are 3, 11, 1723. Prime factorization of 56859 in exponential form is:

56859 = 31 × 111 × 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 56843 and 56859.

LCM(56843,56859) = 568431 × 31 × 111 × 17231
LCM(56843,56859) = 3232036137