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What is the Least Common Multiple of 3563 and 3568?

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 3563 and 3568 is 12712784.

LCM(3563,3568) = 12712784

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Least Common Multiple of 3563 and 3568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3563 and 3568, than apply into the LCM equation.

GCF(3563,3568) = 1
LCM(3563,3568) = ( 3563 × 3568) / 1
LCM(3563,3568) = 12712784 / 1
LCM(3563,3568) = 12712784

Least Common Multiple (LCM) of 3563 and 3568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3563 and 3568. First we will calculate the prime factors of 3563 and 3568.

Prime Factorization of 3563

Prime factors of 3563 are 7, 509. Prime factorization of 3563 in exponential form is:

3563 = 71 × 5091

Prime Factorization of 3568

Prime factors of 3568 are 2, 223. Prime factorization of 3568 in exponential form is:

3568 = 24 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 3563 and 3568.

LCM(3563,3568) = 71 × 5091 × 24 × 2231
LCM(3563,3568) = 12712784