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What is the Least Common Multiple of 56231 and 56249?

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 56249 is 3162937519.

LCM(56231,56249) = 3162937519

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Least Common Multiple of 56231 and 56249 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 56249, than apply into the LCM equation.

GCF(56231,56249) = 1
LCM(56231,56249) = ( 56231 × 56249) / 1
LCM(56231,56249) = 3162937519 / 1
LCM(56231,56249) = 3162937519

Least Common Multiple (LCM) of 56231 and 56249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56231 and 56249. First we will calculate the prime factors of 56231 and 56249.

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 56249

Prime factors of 56249 are 56249. Prime factorization of 56249 in exponential form is:

56249 = 562491

Now multiplying the highest exponent prime factors to calculate the LCM of 56231 and 56249.

LCM(56231,56249) = 71 × 291 × 2771 × 562491
LCM(56231,56249) = 3162937519