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What is the Least Common Multiple of 10434 and 10440?

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 10440 is 18155160.

LCM(10434,10440) = 18155160

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Least Common Multiple of 10434 and 10440 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 10440, than apply into the LCM equation.

GCF(10434,10440) = 6
LCM(10434,10440) = ( 10434 × 10440) / 6
LCM(10434,10440) = 108930960 / 6
LCM(10434,10440) = 18155160

Least Common Multiple (LCM) of 10434 and 10440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10440. First we will calculate the prime factors of 10434 and 10440.

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 10440

Prime factors of 10440 are 2, 3, 5, 29. Prime factorization of 10440 in exponential form is:

10440 = 23 × 32 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10440.

LCM(10434,10440) = 23 × 32 × 371 × 471 × 51 × 291
LCM(10434,10440) = 18155160