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What is the Least Common Multiple of 3554 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 3554 and 3568 is 6340336.

LCM(3554,3568) = 6340336

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Least Common Multiple of 3554 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 3554 and 3568, than apply into the LCM equation.

GCF(3554,3568) = 2
LCM(3554,3568) = ( 3554 × 3568) / 2
LCM(3554,3568) = 12680672 / 2
LCM(3554,3568) = 6340336

Least Common Multiple (LCM) of 3554 and 3568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3554 and 3568. First we will calculate the prime factors of 3554 and 3568.

Prime Factorization of 3554

Prime factors of 3554 are 2, 1777. Prime factorization of 3554 in exponential form is:

3554 = 21 × 17771

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 3554 and 3568.

LCM(3554,3568) = 24 × 17771 × 2231
LCM(3554,3568) = 6340336