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What is the Least Common Multiple of 31243 and 31248?

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 31243 and 31248 is 976281264.

LCM(31243,31248) = 976281264

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Least Common Multiple of 31243 and 31248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31243 and 31248, than apply into the LCM equation.

GCF(31243,31248) = 1
LCM(31243,31248) = ( 31243 × 31248) / 1
LCM(31243,31248) = 976281264 / 1
LCM(31243,31248) = 976281264

Least Common Multiple (LCM) of 31243 and 31248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31243 and 31248. First we will calculate the prime factors of 31243 and 31248.

Prime Factorization of 31243

Prime factors of 31243 are 157, 199. Prime factorization of 31243 in exponential form is:

31243 = 1571 × 1991

Prime Factorization of 31248

Prime factors of 31248 are 2, 3, 7, 31. Prime factorization of 31248 in exponential form is:

31248 = 24 × 32 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 31243 and 31248.

LCM(31243,31248) = 1571 × 1991 × 24 × 32 × 71 × 311
LCM(31243,31248) = 976281264