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What is the Least Common Multiple of 3544 and 3564?

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 3544 and 3564 is 3157704.

LCM(3544,3564) = 3157704

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Least Common Multiple of 3544 and 3564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3544 and 3564, than apply into the LCM equation.

GCF(3544,3564) = 4
LCM(3544,3564) = ( 3544 × 3564) / 4
LCM(3544,3564) = 12630816 / 4
LCM(3544,3564) = 3157704

Least Common Multiple (LCM) of 3544 and 3564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3544 and 3564. First we will calculate the prime factors of 3544 and 3564.

Prime Factorization of 3544

Prime factors of 3544 are 2, 443. Prime factorization of 3544 in exponential form is:

3544 = 23 × 4431

Prime Factorization of 3564

Prime factors of 3564 are 2, 3, 11. Prime factorization of 3564 in exponential form is:

3564 = 22 × 34 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 3544 and 3564.

LCM(3544,3564) = 23 × 4431 × 34 × 111
LCM(3544,3564) = 3157704