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What is the Least Common Multiple of 3285 and 3291?

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 3285 and 3291 is 3603645.

LCM(3285,3291) = 3603645

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Least Common Multiple of 3285 and 3291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3285 and 3291, than apply into the LCM equation.

GCF(3285,3291) = 3
LCM(3285,3291) = ( 3285 × 3291) / 3
LCM(3285,3291) = 10810935 / 3
LCM(3285,3291) = 3603645

Least Common Multiple (LCM) of 3285 and 3291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3291. First we will calculate the prime factors of 3285 and 3291.

Prime Factorization of 3285

Prime factors of 3285 are 3, 5, 73. Prime factorization of 3285 in exponential form is:

3285 = 32 × 51 × 731

Prime Factorization of 3291

Prime factors of 3291 are 3, 1097. Prime factorization of 3291 in exponential form is:

3291 = 31 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3291.

LCM(3285,3291) = 32 × 51 × 731 × 10971
LCM(3285,3291) = 3603645