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What is the Least Common Multiple of 3246 and 3261?

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 3246 and 3261 is 3528402.

LCM(3246,3261) = 3528402

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Least Common Multiple of 3246 and 3261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3246 and 3261, than apply into the LCM equation.

GCF(3246,3261) = 3
LCM(3246,3261) = ( 3246 × 3261) / 3
LCM(3246,3261) = 10585206 / 3
LCM(3246,3261) = 3528402

Least Common Multiple (LCM) of 3246 and 3261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3246 and 3261. First we will calculate the prime factors of 3246 and 3261.

Prime Factorization of 3246

Prime factors of 3246 are 2, 3, 541. Prime factorization of 3246 in exponential form is:

3246 = 21 × 31 × 5411

Prime Factorization of 3261

Prime factors of 3261 are 3, 1087. Prime factorization of 3261 in exponential form is:

3261 = 31 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 3246 and 3261.

LCM(3246,3261) = 21 × 31 × 5411 × 10871
LCM(3246,3261) = 3528402