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What is the Least Common Multiple of 3561 and 3567?

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 3561 and 3567 is 4234029.

LCM(3561,3567) = 4234029

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Least Common Multiple of 3561 and 3567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3561 and 3567, than apply into the LCM equation.

GCF(3561,3567) = 3
LCM(3561,3567) = ( 3561 × 3567) / 3
LCM(3561,3567) = 12702087 / 3
LCM(3561,3567) = 4234029

Least Common Multiple (LCM) of 3561 and 3567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3561 and 3567. First we will calculate the prime factors of 3561 and 3567.

Prime Factorization of 3561

Prime factors of 3561 are 3, 1187. Prime factorization of 3561 in exponential form is:

3561 = 31 × 11871

Prime Factorization of 3567

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

3567 = 31 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3567.

LCM(3561,3567) = 31 × 11871 × 291 × 411
LCM(3561,3567) = 4234029