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What is the Least Common Multiple of 2259 and 2272?

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 2259 and 2272 is 5132448.

LCM(2259,2272) = 5132448

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Least Common Multiple of 2259 and 2272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2259 and 2272, than apply into the LCM equation.

GCF(2259,2272) = 1
LCM(2259,2272) = ( 2259 × 2272) / 1
LCM(2259,2272) = 5132448 / 1
LCM(2259,2272) = 5132448

Least Common Multiple (LCM) of 2259 and 2272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2259 and 2272. First we will calculate the prime factors of 2259 and 2272.

Prime Factorization of 2259

Prime factors of 2259 are 3, 251. Prime factorization of 2259 in exponential form is:

2259 = 32 × 2511

Prime Factorization of 2272

Prime factors of 2272 are 2, 71. Prime factorization of 2272 in exponential form is:

2272 = 25 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 2259 and 2272.

LCM(2259,2272) = 32 × 2511 × 25 × 711
LCM(2259,2272) = 5132448