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What is the Least Common Multiple of 10434 and 10444?

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 10444 is 54486348.

LCM(10434,10444) = 54486348

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Least Common Multiple of 10434 and 10444 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 10444, than apply into the LCM equation.

GCF(10434,10444) = 2
LCM(10434,10444) = ( 10434 × 10444) / 2
LCM(10434,10444) = 108972696 / 2
LCM(10434,10444) = 54486348

Least Common Multiple (LCM) of 10434 and 10444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10444. First we will calculate the prime factors of 10434 and 10444.

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 10444

Prime factors of 10444 are 2, 7, 373. Prime factorization of 10444 in exponential form is:

10444 = 22 × 71 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10444.

LCM(10434,10444) = 22 × 31 × 371 × 471 × 71 × 3731
LCM(10434,10444) = 54486348