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What is the Least Common Multiple of 6599 and 6612?

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 6599 and 6612 is 43632588.

LCM(6599,6612) = 43632588

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Least Common Multiple of 6599 and 6612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6599 and 6612, than apply into the LCM equation.

GCF(6599,6612) = 1
LCM(6599,6612) = ( 6599 × 6612) / 1
LCM(6599,6612) = 43632588 / 1
LCM(6599,6612) = 43632588

Least Common Multiple (LCM) of 6599 and 6612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6599 and 6612. First we will calculate the prime factors of 6599 and 6612.

Prime Factorization of 6599

Prime factors of 6599 are 6599. Prime factorization of 6599 in exponential form is:

6599 = 65991

Prime Factorization of 6612

Prime factors of 6612 are 2, 3, 19, 29. Prime factorization of 6612 in exponential form is:

6612 = 22 × 31 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6599 and 6612.

LCM(6599,6612) = 65991 × 22 × 31 × 191 × 291
LCM(6599,6612) = 43632588