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What is the Least Common Multiple of 3555 and 3573?

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 3555 and 3573 is 1411335.

LCM(3555,3573) = 1411335

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Least Common Multiple of 3555 and 3573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3555 and 3573, than apply into the LCM equation.

GCF(3555,3573) = 9
LCM(3555,3573) = ( 3555 × 3573) / 9
LCM(3555,3573) = 12702015 / 9
LCM(3555,3573) = 1411335

Least Common Multiple (LCM) of 3555 and 3573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3555 and 3573. First we will calculate the prime factors of 3555 and 3573.

Prime Factorization of 3555

Prime factors of 3555 are 3, 5, 79. Prime factorization of 3555 in exponential form is:

3555 = 32 × 51 × 791

Prime Factorization of 3573

Prime factors of 3573 are 3, 397. Prime factorization of 3573 in exponential form is:

3573 = 32 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 3555 and 3573.

LCM(3555,3573) = 32 × 51 × 791 × 3971
LCM(3555,3573) = 1411335