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What is the Least Common Multiple of 3549 and 3559?

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 3549 and 3559 is 12630891.

LCM(3549,3559) = 12630891

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Least Common Multiple of 3549 and 3559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3549 and 3559, than apply into the LCM equation.

GCF(3549,3559) = 1
LCM(3549,3559) = ( 3549 × 3559) / 1
LCM(3549,3559) = 12630891 / 1
LCM(3549,3559) = 12630891

Least Common Multiple (LCM) of 3549 and 3559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3549 and 3559. First we will calculate the prime factors of 3549 and 3559.

Prime Factorization of 3549

Prime factors of 3549 are 3, 7, 13. Prime factorization of 3549 in exponential form is:

3549 = 31 × 71 × 132

Prime Factorization of 3559

Prime factors of 3559 are 3559. Prime factorization of 3559 in exponential form is:

3559 = 35591

Now multiplying the highest exponent prime factors to calculate the LCM of 3549 and 3559.

LCM(3549,3559) = 31 × 71 × 132 × 35591
LCM(3549,3559) = 12630891