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What is the Least Common Multiple of 3595 and 3606?

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 3595 and 3606 is 12963570.

LCM(3595,3606) = 12963570

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Least Common Multiple of 3595 and 3606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3595 and 3606, than apply into the LCM equation.

GCF(3595,3606) = 1
LCM(3595,3606) = ( 3595 × 3606) / 1
LCM(3595,3606) = 12963570 / 1
LCM(3595,3606) = 12963570

Least Common Multiple (LCM) of 3595 and 3606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3595 and 3606. First we will calculate the prime factors of 3595 and 3606.

Prime Factorization of 3595

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

3595 = 51 × 7191

Prime Factorization of 3606

Prime factors of 3606 are 2, 3, 601. Prime factorization of 3606 in exponential form is:

3606 = 21 × 31 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 3595 and 3606.

LCM(3595,3606) = 51 × 7191 × 21 × 31 × 6011
LCM(3595,3606) = 12963570