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What is the Least Common Multiple of 56231 and 56239?

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 56231 and 56239 is 3162375209.

LCM(56231,56239) = 3162375209

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Least Common Multiple of 56231 and 56239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56231 and 56239, than apply into the LCM equation.

GCF(56231,56239) = 1
LCM(56231,56239) = ( 56231 × 56239) / 1
LCM(56231,56239) = 3162375209 / 1
LCM(56231,56239) = 3162375209

Least Common Multiple (LCM) of 56231 and 56239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56231 and 56239. First we will calculate the prime factors of 56231 and 56239.

Prime Factorization of 56231

Prime factors of 56231 are 7, 29, 277. Prime factorization of 56231 in exponential form is:

56231 = 71 × 291 × 2771

Prime Factorization of 56239

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

56239 = 562391

Now multiplying the highest exponent prime factors to calculate the LCM of 56231 and 56239.

LCM(56231,56239) = 71 × 291 × 2771 × 562391
LCM(56231,56239) = 3162375209