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What is the Least Common Multiple of 10434 and 10441?

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 10434 and 10441 is 108941394.

LCM(10434,10441) = 108941394

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Least Common Multiple of 10434 and 10441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10434 and 10441, than apply into the LCM equation.

GCF(10434,10441) = 1
LCM(10434,10441) = ( 10434 × 10441) / 1
LCM(10434,10441) = 108941394 / 1
LCM(10434,10441) = 108941394

Least Common Multiple (LCM) of 10434 and 10441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10441. First we will calculate the prime factors of 10434 and 10441.

Prime Factorization of 10434

Prime factors of 10434 are 2, 3, 37, 47. Prime factorization of 10434 in exponential form is:

10434 = 21 × 31 × 371 × 471

Prime Factorization of 10441

Prime factors of 10441 are 53, 197. Prime factorization of 10441 in exponential form is:

10441 = 531 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10441.

LCM(10434,10441) = 21 × 31 × 371 × 471 × 531 × 1971
LCM(10434,10441) = 108941394