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What is the Least Common Multiple of 5787 and 5796?

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 5787 and 5796 is 3726828.

LCM(5787,5796) = 3726828

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Least Common Multiple of 5787 and 5796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5787 and 5796, than apply into the LCM equation.

GCF(5787,5796) = 9
LCM(5787,5796) = ( 5787 × 5796) / 9
LCM(5787,5796) = 33541452 / 9
LCM(5787,5796) = 3726828

Least Common Multiple (LCM) of 5787 and 5796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5787 and 5796. First we will calculate the prime factors of 5787 and 5796.

Prime Factorization of 5787

Prime factors of 5787 are 3, 643. Prime factorization of 5787 in exponential form is:

5787 = 32 × 6431

Prime Factorization of 5796

Prime factors of 5796 are 2, 3, 7, 23. Prime factorization of 5796 in exponential form is:

5796 = 22 × 32 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5787 and 5796.

LCM(5787,5796) = 32 × 6431 × 22 × 71 × 231
LCM(5787,5796) = 3726828