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What is the Least Common Multiple of 3249 and 3256?

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 3249 and 3256 is 10578744.

LCM(3249,3256) = 10578744

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Least Common Multiple of 3249 and 3256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3249 and 3256, than apply into the LCM equation.

GCF(3249,3256) = 1
LCM(3249,3256) = ( 3249 × 3256) / 1
LCM(3249,3256) = 10578744 / 1
LCM(3249,3256) = 10578744

Least Common Multiple (LCM) of 3249 and 3256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3249 and 3256. First we will calculate the prime factors of 3249 and 3256.

Prime Factorization of 3249

Prime factors of 3249 are 3, 19. Prime factorization of 3249 in exponential form is:

3249 = 32 × 192

Prime Factorization of 3256

Prime factors of 3256 are 2, 11, 37. Prime factorization of 3256 in exponential form is:

3256 = 23 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 3249 and 3256.

LCM(3249,3256) = 32 × 192 × 23 × 111 × 371
LCM(3249,3256) = 10578744