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What is the Least Common Multiple of 10434 and 10449?

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 10449 is 36341622.

LCM(10434,10449) = 36341622

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Least Common Multiple of 10434 and 10449 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 10449, than apply into the LCM equation.

GCF(10434,10449) = 3
LCM(10434,10449) = ( 10434 × 10449) / 3
LCM(10434,10449) = 109024866 / 3
LCM(10434,10449) = 36341622

Least Common Multiple (LCM) of 10434 and 10449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10449. First we will calculate the prime factors of 10434 and 10449.

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 10449

Prime factors of 10449 are 3, 43. Prime factorization of 10449 in exponential form is:

10449 = 35 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10449.

LCM(10434,10449) = 21 × 35 × 371 × 471 × 431
LCM(10434,10449) = 36341622