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What is the Least Common Multiple of 3264 and 3275?

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 3264 and 3275 is 10689600.

LCM(3264,3275) = 10689600

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Least Common Multiple of 3264 and 3275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3264 and 3275, than apply into the LCM equation.

GCF(3264,3275) = 1
LCM(3264,3275) = ( 3264 × 3275) / 1
LCM(3264,3275) = 10689600 / 1
LCM(3264,3275) = 10689600

Least Common Multiple (LCM) of 3264 and 3275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3264 and 3275. First we will calculate the prime factors of 3264 and 3275.

Prime Factorization of 3264

Prime factors of 3264 are 2, 3, 17. Prime factorization of 3264 in exponential form is:

3264 = 26 × 31 × 171

Prime Factorization of 3275

Prime factors of 3275 are 5, 131. Prime factorization of 3275 in exponential form is:

3275 = 52 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3264 and 3275.

LCM(3264,3275) = 26 × 31 × 171 × 52 × 1311
LCM(3264,3275) = 10689600