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What is the Least Common Multiple of 3573 and 3586?

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 3573 and 3586 is 12812778.

LCM(3573,3586) = 12812778

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Least Common Multiple of 3573 and 3586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3573 and 3586, than apply into the LCM equation.

GCF(3573,3586) = 1
LCM(3573,3586) = ( 3573 × 3586) / 1
LCM(3573,3586) = 12812778 / 1
LCM(3573,3586) = 12812778

Least Common Multiple (LCM) of 3573 and 3586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3573 and 3586. First we will calculate the prime factors of 3573 and 3586.

Prime Factorization of 3573

Prime factors of 3573 are 3, 397. Prime factorization of 3573 in exponential form is:

3573 = 32 × 3971

Prime Factorization of 3586

Prime factors of 3586 are 2, 11, 163. Prime factorization of 3586 in exponential form is:

3586 = 21 × 111 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 3573 and 3586.

LCM(3573,3586) = 32 × 3971 × 21 × 111 × 1631
LCM(3573,3586) = 12812778