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What is the Least Common Multiple of 3572 and 3591?

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 3591 is 675108.

LCM(3572,3591) = 675108

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Least Common Multiple of 3572 and 3591 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 3591, than apply into the LCM equation.

GCF(3572,3591) = 19
LCM(3572,3591) = ( 3572 × 3591) / 19
LCM(3572,3591) = 12827052 / 19
LCM(3572,3591) = 675108

Least Common Multiple (LCM) of 3572 and 3591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3572 and 3591. First we will calculate the prime factors of 3572 and 3591.

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 3591

Prime factors of 3591 are 3, 7, 19. Prime factorization of 3591 in exponential form is:

3591 = 33 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3572 and 3591.

LCM(3572,3591) = 22 × 191 × 471 × 33 × 71
LCM(3572,3591) = 675108