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What is the Least Common Multiple of 5786 and 5795?

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 5786 and 5795 is 33529870.

LCM(5786,5795) = 33529870

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Least Common Multiple of 5786 and 5795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5786 and 5795, than apply into the LCM equation.

GCF(5786,5795) = 1
LCM(5786,5795) = ( 5786 × 5795) / 1
LCM(5786,5795) = 33529870 / 1
LCM(5786,5795) = 33529870

Least Common Multiple (LCM) of 5786 and 5795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5786 and 5795. First we will calculate the prime factors of 5786 and 5795.

Prime Factorization of 5786

Prime factors of 5786 are 2, 11, 263. Prime factorization of 5786 in exponential form is:

5786 = 21 × 111 × 2631

Prime Factorization of 5795

Prime factors of 5795 are 5, 19, 61. Prime factorization of 5795 in exponential form is:

5795 = 51 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 5786 and 5795.

LCM(5786,5795) = 21 × 111 × 2631 × 51 × 191 × 611
LCM(5786,5795) = 33529870