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What is the Least Common Multiple of 5796 and 5807?

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 5796 and 5807 is 33657372.

LCM(5796,5807) = 33657372

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Least Common Multiple of 5796 and 5807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5796 and 5807, than apply into the LCM equation.

GCF(5796,5807) = 1
LCM(5796,5807) = ( 5796 × 5807) / 1
LCM(5796,5807) = 33657372 / 1
LCM(5796,5807) = 33657372

Least Common Multiple (LCM) of 5796 and 5807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5796 and 5807. First we will calculate the prime factors of 5796 and 5807.

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

Prime Factorization of 5807

Prime factors of 5807 are 5807. Prime factorization of 5807 in exponential form is:

5807 = 58071

Now multiplying the highest exponent prime factors to calculate the LCM of 5796 and 5807.

LCM(5796,5807) = 22 × 32 × 71 × 231 × 58071
LCM(5796,5807) = 33657372