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What is the Least Common Multiple of 5815 and 5835?

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 5815 and 5835 is 6786105.

LCM(5815,5835) = 6786105

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Least Common Multiple of 5815 and 5835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5815 and 5835, than apply into the LCM equation.

GCF(5815,5835) = 5
LCM(5815,5835) = ( 5815 × 5835) / 5
LCM(5815,5835) = 33930525 / 5
LCM(5815,5835) = 6786105

Least Common Multiple (LCM) of 5815 and 5835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5815 and 5835. First we will calculate the prime factors of 5815 and 5835.

Prime Factorization of 5815

Prime factors of 5815 are 5, 1163. Prime factorization of 5815 in exponential form is:

5815 = 51 × 11631

Prime Factorization of 5835

Prime factors of 5835 are 3, 5, 389. Prime factorization of 5835 in exponential form is:

5835 = 31 × 51 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 5815 and 5835.

LCM(5815,5835) = 51 × 11631 × 31 × 3891
LCM(5815,5835) = 6786105