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What is the Least Common Multiple of 10244 and 10249?

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 10244 and 10249 is 104990756.

LCM(10244,10249) = 104990756

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Least Common Multiple of 10244 and 10249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10244 and 10249, than apply into the LCM equation.

GCF(10244,10249) = 1
LCM(10244,10249) = ( 10244 × 10249) / 1
LCM(10244,10249) = 104990756 / 1
LCM(10244,10249) = 104990756

Least Common Multiple (LCM) of 10244 and 10249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10244 and 10249. First we will calculate the prime factors of 10244 and 10249.

Prime Factorization of 10244

Prime factors of 10244 are 2, 13, 197. Prime factorization of 10244 in exponential form is:

10244 = 22 × 131 × 1971

Prime Factorization of 10249

Prime factors of 10249 are 37, 277. Prime factorization of 10249 in exponential form is:

10249 = 371 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 10244 and 10249.

LCM(10244,10249) = 22 × 131 × 1971 × 371 × 2771
LCM(10244,10249) = 104990756