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What is the Least Common Multiple of 3554 and 3572?

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 3572 is 6347444.

LCM(3554,3572) = 6347444

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Least Common Multiple of 3554 and 3572 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 3572, than apply into the LCM equation.

GCF(3554,3572) = 2
LCM(3554,3572) = ( 3554 × 3572) / 2
LCM(3554,3572) = 12694888 / 2
LCM(3554,3572) = 6347444

Least Common Multiple (LCM) of 3554 and 3572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3554 and 3572. First we will calculate the prime factors of 3554 and 3572.

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 3572

Prime factors of 3572 are 2, 19, 47. Prime factorization of 3572 in exponential form is:

3572 = 22 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3554 and 3572.

LCM(3554,3572) = 22 × 17771 × 191 × 471
LCM(3554,3572) = 6347444