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What is the Least Common Multiple of 10429 and 10434?

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 10429 and 10434 is 108816186.

LCM(10429,10434) = 108816186

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Least Common Multiple of 10429 and 10434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10429 and 10434, than apply into the LCM equation.

GCF(10429,10434) = 1
LCM(10429,10434) = ( 10429 × 10434) / 1
LCM(10429,10434) = 108816186 / 1
LCM(10429,10434) = 108816186

Least Common Multiple (LCM) of 10429 and 10434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10429 and 10434. First we will calculate the prime factors of 10429 and 10434.

Prime Factorization of 10429

Prime factors of 10429 are 10429. Prime factorization of 10429 in exponential form is:

10429 = 104291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10429 and 10434.

LCM(10429,10434) = 104291 × 21 × 31 × 371 × 471
LCM(10429,10434) = 108816186