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What is the Least Common Multiple of 3567 and 3587?

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 3567 and 3587 is 12794829.

LCM(3567,3587) = 12794829

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Least Common Multiple of 3567 and 3587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3567 and 3587, than apply into the LCM equation.

GCF(3567,3587) = 1
LCM(3567,3587) = ( 3567 × 3587) / 1
LCM(3567,3587) = 12794829 / 1
LCM(3567,3587) = 12794829

Least Common Multiple (LCM) of 3567 and 3587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3567 and 3587. First we will calculate the prime factors of 3567 and 3587.

Prime Factorization of 3567

Prime factors of 3567 are 3, 29, 41. Prime factorization of 3567 in exponential form is:

3567 = 31 × 291 × 411

Prime Factorization of 3587

Prime factors of 3587 are 17, 211. Prime factorization of 3587 in exponential form is:

3587 = 171 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3567 and 3587.

LCM(3567,3587) = 31 × 291 × 411 × 171 × 2111
LCM(3567,3587) = 12794829