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What is the Least Common Multiple of 18239 and 18255?

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 18239 and 18255 is 332952945.

LCM(18239,18255) = 332952945

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Least Common Multiple of 18239 and 18255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18239 and 18255, than apply into the LCM equation.

GCF(18239,18255) = 1
LCM(18239,18255) = ( 18239 × 18255) / 1
LCM(18239,18255) = 332952945 / 1
LCM(18239,18255) = 332952945

Least Common Multiple (LCM) of 18239 and 18255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18239 and 18255. First we will calculate the prime factors of 18239 and 18255.

Prime Factorization of 18239

Prime factors of 18239 are 13, 23, 61. Prime factorization of 18239 in exponential form is:

18239 = 131 × 231 × 611

Prime Factorization of 18255

Prime factors of 18255 are 3, 5, 1217. Prime factorization of 18255 in exponential form is:

18255 = 31 × 51 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 18239 and 18255.

LCM(18239,18255) = 131 × 231 × 611 × 31 × 51 × 12171
LCM(18239,18255) = 332952945