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What is the Least Common Multiple of 55239 and 55256?

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 55239 and 55256 is 3052286184.

LCM(55239,55256) = 3052286184

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Least Common Multiple of 55239 and 55256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55239 and 55256, than apply into the LCM equation.

GCF(55239,55256) = 1
LCM(55239,55256) = ( 55239 × 55256) / 1
LCM(55239,55256) = 3052286184 / 1
LCM(55239,55256) = 3052286184

Least Common Multiple (LCM) of 55239 and 55256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55239 and 55256. First we will calculate the prime factors of 55239 and 55256.

Prime Factorization of 55239

Prime factors of 55239 are 3, 18413. Prime factorization of 55239 in exponential form is:

55239 = 31 × 184131

Prime Factorization of 55256

Prime factors of 55256 are 2, 6907. Prime factorization of 55256 in exponential form is:

55256 = 23 × 69071

Now multiplying the highest exponent prime factors to calculate the LCM of 55239 and 55256.

LCM(55239,55256) = 31 × 184131 × 23 × 69071
LCM(55239,55256) = 3052286184