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What is the Least Common Multiple of 3285 and 3290?

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 3290 is 2161530.

LCM(3285,3290) = 2161530

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Least Common Multiple of 3285 and 3290 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 3290, than apply into the LCM equation.

GCF(3285,3290) = 5
LCM(3285,3290) = ( 3285 × 3290) / 5
LCM(3285,3290) = 10807650 / 5
LCM(3285,3290) = 2161530

Least Common Multiple (LCM) of 3285 and 3290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3285 and 3290. First we will calculate the prime factors of 3285 and 3290.

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 3290

Prime factors of 3290 are 2, 5, 7, 47. Prime factorization of 3290 in exponential form is:

3290 = 21 × 51 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3285 and 3290.

LCM(3285,3290) = 32 × 51 × 731 × 21 × 71 × 471
LCM(3285,3290) = 2161530