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What is the Least Common Multiple of 3265 and 3270?

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 3265 and 3270 is 2135310.

LCM(3265,3270) = 2135310

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Least Common Multiple of 3265 and 3270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3265 and 3270, than apply into the LCM equation.

GCF(3265,3270) = 5
LCM(3265,3270) = ( 3265 × 3270) / 5
LCM(3265,3270) = 10676550 / 5
LCM(3265,3270) = 2135310

Least Common Multiple (LCM) of 3265 and 3270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3265 and 3270. First we will calculate the prime factors of 3265 and 3270.

Prime Factorization of 3265

Prime factors of 3265 are 5, 653. Prime factorization of 3265 in exponential form is:

3265 = 51 × 6531

Prime Factorization of 3270

Prime factors of 3270 are 2, 3, 5, 109. Prime factorization of 3270 in exponential form is:

3270 = 21 × 31 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3265 and 3270.

LCM(3265,3270) = 51 × 6531 × 21 × 31 × 1091
LCM(3265,3270) = 2135310