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What is the Least Common Multiple of 17414 and 17434?

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 17414 and 17434 is 151797838.

LCM(17414,17434) = 151797838

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Least Common Multiple of 17414 and 17434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17414 and 17434, than apply into the LCM equation.

GCF(17414,17434) = 2
LCM(17414,17434) = ( 17414 × 17434) / 2
LCM(17414,17434) = 303595676 / 2
LCM(17414,17434) = 151797838

Least Common Multiple (LCM) of 17414 and 17434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17414 and 17434. First we will calculate the prime factors of 17414 and 17434.

Prime Factorization of 17414

Prime factors of 17414 are 2, 8707. Prime factorization of 17414 in exponential form is:

17414 = 21 × 87071

Prime Factorization of 17434

Prime factors of 17434 are 2, 23, 379. Prime factorization of 17434 in exponential form is:

17434 = 21 × 231 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 17414 and 17434.

LCM(17414,17434) = 21 × 87071 × 231 × 3791
LCM(17414,17434) = 151797838