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What is the Least Common Multiple of 10434 and 10446?

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 10446 is 18165594.

LCM(10434,10446) = 18165594

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Least Common Multiple of 10434 and 10446 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 10446, than apply into the LCM equation.

GCF(10434,10446) = 6
LCM(10434,10446) = ( 10434 × 10446) / 6
LCM(10434,10446) = 108993564 / 6
LCM(10434,10446) = 18165594

Least Common Multiple (LCM) of 10434 and 10446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10434 and 10446. First we will calculate the prime factors of 10434 and 10446.

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 10446

Prime factors of 10446 are 2, 3, 1741. Prime factorization of 10446 in exponential form is:

10446 = 21 × 31 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 10434 and 10446.

LCM(10434,10446) = 21 × 31 × 371 × 471 × 17411
LCM(10434,10446) = 18165594