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What is the Least Common Multiple of 3591 and 3595?

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 3591 and 3595 is 12909645.

LCM(3591,3595) = 12909645

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Least Common Multiple of 3591 and 3595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3591 and 3595, than apply into the LCM equation.

GCF(3591,3595) = 1
LCM(3591,3595) = ( 3591 × 3595) / 1
LCM(3591,3595) = 12909645 / 1
LCM(3591,3595) = 12909645

Least Common Multiple (LCM) of 3591 and 3595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3591 and 3595. First we will calculate the prime factors of 3591 and 3595.

Prime Factorization of 3591

Prime factors of 3591 are 3, 7, 19. Prime factorization of 3591 in exponential form is:

3591 = 33 × 71 × 191

Prime Factorization of 3595

Prime factors of 3595 are 5, 719. Prime factorization of 3595 in exponential form is:

3595 = 51 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 3591 and 3595.

LCM(3591,3595) = 33 × 71 × 191 × 51 × 7191
LCM(3591,3595) = 12909645