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What is the Least Common Multiple of 27249 and 27256?

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 27249 and 27256 is 742698744.

LCM(27249,27256) = 742698744

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Least Common Multiple of 27249 and 27256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27249 and 27256, than apply into the LCM equation.

GCF(27249,27256) = 1
LCM(27249,27256) = ( 27249 × 27256) / 1
LCM(27249,27256) = 742698744 / 1
LCM(27249,27256) = 742698744

Least Common Multiple (LCM) of 27249 and 27256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27249 and 27256. First we will calculate the prime factors of 27249 and 27256.

Prime Factorization of 27249

Prime factors of 27249 are 3, 31, 293. Prime factorization of 27249 in exponential form is:

27249 = 31 × 311 × 2931

Prime Factorization of 27256

Prime factors of 27256 are 2, 3407. Prime factorization of 27256 in exponential form is:

27256 = 23 × 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 27249 and 27256.

LCM(27249,27256) = 31 × 311 × 2931 × 23 × 34071
LCM(27249,27256) = 742698744