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What is the Least Common Multiple of 5796 and 5812?

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 5812 is 8421588.

LCM(5796,5812) = 8421588

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Least Common Multiple of 5796 and 5812 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 5812, than apply into the LCM equation.

GCF(5796,5812) = 4
LCM(5796,5812) = ( 5796 × 5812) / 4
LCM(5796,5812) = 33686352 / 4
LCM(5796,5812) = 8421588

Least Common Multiple (LCM) of 5796 and 5812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5796 and 5812. First we will calculate the prime factors of 5796 and 5812.

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 5812

Prime factors of 5812 are 2, 1453. Prime factorization of 5812 in exponential form is:

5812 = 22 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 5796 and 5812.

LCM(5796,5812) = 22 × 32 × 71 × 231 × 14531
LCM(5796,5812) = 8421588