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What is the Least Common Multiple of 31241 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 31241 and 31249 is 976250009.

LCM(31241,31249) = 976250009

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Least Common Multiple of 31241 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 31241 and 31249, than apply into the LCM equation.

GCF(31241,31249) = 1
LCM(31241,31249) = ( 31241 × 31249) / 1
LCM(31241,31249) = 976250009 / 1
LCM(31241,31249) = 976250009

Least Common Multiple (LCM) of 31241 and 31249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31241 and 31249. First we will calculate the prime factors of 31241 and 31249.

Prime Factorization of 31241

Prime factors of 31241 are 7, 4463. Prime factorization of 31241 in exponential form is:

31241 = 71 × 44631

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 31241 and 31249.

LCM(31241,31249) = 71 × 44631 × 312491
LCM(31241,31249) = 976250009