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What is the Least Common Multiple of 56239 and 56248?

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 56239 and 56248 is 3163331272.

LCM(56239,56248) = 3163331272

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Least Common Multiple of 56239 and 56248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56239 and 56248, than apply into the LCM equation.

GCF(56239,56248) = 1
LCM(56239,56248) = ( 56239 × 56248) / 1
LCM(56239,56248) = 3163331272 / 1
LCM(56239,56248) = 3163331272

Least Common Multiple (LCM) of 56239 and 56248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56239 and 56248. First we will calculate the prime factors of 56239 and 56248.

Prime Factorization of 56239

Prime factors of 56239 are 56239. Prime factorization of 56239 in exponential form is:

56239 = 562391

Prime Factorization of 56248

Prime factors of 56248 are 2, 79, 89. Prime factorization of 56248 in exponential form is:

56248 = 23 × 791 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 56239 and 56248.

LCM(56239,56248) = 562391 × 23 × 791 × 891
LCM(56239,56248) = 3163331272