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What is the Least Common Multiple of 3572 and 3576?

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 3572 and 3576 is 3193368.

LCM(3572,3576) = 3193368

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Least Common Multiple of 3572 and 3576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3572 and 3576, than apply into the LCM equation.

GCF(3572,3576) = 4
LCM(3572,3576) = ( 3572 × 3576) / 4
LCM(3572,3576) = 12773472 / 4
LCM(3572,3576) = 3193368

Least Common Multiple (LCM) of 3572 and 3576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3572 and 3576. First we will calculate the prime factors of 3572 and 3576.

Prime Factorization of 3572

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

3572 = 22 × 191 × 471

Prime Factorization of 3576

Prime factors of 3576 are 2, 3, 149. Prime factorization of 3576 in exponential form is:

3576 = 23 × 31 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3572 and 3576.

LCM(3572,3576) = 23 × 191 × 471 × 31 × 1491
LCM(3572,3576) = 3193368