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What is the Least Common Multiple of 31239 and 31249?

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 31239 and 31249 is 976187511.

LCM(31239,31249) = 976187511

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Least Common Multiple of 31239 and 31249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31239 and 31249, than apply into the LCM equation.

GCF(31239,31249) = 1
LCM(31239,31249) = ( 31239 × 31249) / 1
LCM(31239,31249) = 976187511 / 1
LCM(31239,31249) = 976187511

Least Common Multiple (LCM) of 31239 and 31249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31239 and 31249. First we will calculate the prime factors of 31239 and 31249.

Prime Factorization of 31239

Prime factors of 31239 are 3, 13, 89. Prime factorization of 31239 in exponential form is:

31239 = 33 × 131 × 891

Prime Factorization of 31249

Prime factors of 31249 are 31249. Prime factorization of 31249 in exponential form is:

31249 = 312491

Now multiplying the highest exponent prime factors to calculate the LCM of 31239 and 31249.

LCM(31239,31249) = 33 × 131 × 891 × 312491
LCM(31239,31249) = 976187511