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What is the Least Common Multiple of 56841 and 56847?

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 56841 and 56847 is 1077080109.

LCM(56841,56847) = 1077080109

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Least Common Multiple of 56841 and 56847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56841 and 56847, than apply into the LCM equation.

GCF(56841,56847) = 3
LCM(56841,56847) = ( 56841 × 56847) / 3
LCM(56841,56847) = 3231240327 / 3
LCM(56841,56847) = 1077080109

Least Common Multiple (LCM) of 56841 and 56847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56841 and 56847. First we will calculate the prime factors of 56841 and 56847.

Prime Factorization of 56841

Prime factors of 56841 are 3, 18947. Prime factorization of 56841 in exponential form is:

56841 = 31 × 189471

Prime Factorization of 56847

Prime factors of 56847 are 3, 7, 2707. Prime factorization of 56847 in exponential form is:

56847 = 31 × 71 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 56841 and 56847.

LCM(56841,56847) = 31 × 189471 × 71 × 27071
LCM(56841,56847) = 1077080109