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What is the Least Common Multiple of 5841 and 5854?

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 5841 and 5854 is 34193214.

LCM(5841,5854) = 34193214

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Least Common Multiple of 5841 and 5854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5841 and 5854, than apply into the LCM equation.

GCF(5841,5854) = 1
LCM(5841,5854) = ( 5841 × 5854) / 1
LCM(5841,5854) = 34193214 / 1
LCM(5841,5854) = 34193214

Least Common Multiple (LCM) of 5841 and 5854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5841 and 5854. First we will calculate the prime factors of 5841 and 5854.

Prime Factorization of 5841

Prime factors of 5841 are 3, 11, 59. Prime factorization of 5841 in exponential form is:

5841 = 32 × 111 × 591

Prime Factorization of 5854

Prime factors of 5854 are 2, 2927. Prime factorization of 5854 in exponential form is:

5854 = 21 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 5841 and 5854.

LCM(5841,5854) = 32 × 111 × 591 × 21 × 29271
LCM(5841,5854) = 34193214