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What is the Least Common Multiple of 29417 and 29431?

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 29417 and 29431 is 865771727.

LCM(29417,29431) = 865771727

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Least Common Multiple of 29417 and 29431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29417 and 29431, than apply into the LCM equation.

GCF(29417,29431) = 1
LCM(29417,29431) = ( 29417 × 29431) / 1
LCM(29417,29431) = 865771727 / 1
LCM(29417,29431) = 865771727

Least Common Multiple (LCM) of 29417 and 29431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29417 and 29431. First we will calculate the prime factors of 29417 and 29431.

Prime Factorization of 29417

Prime factors of 29417 are 23, 1279. Prime factorization of 29417 in exponential form is:

29417 = 231 × 12791

Prime Factorization of 29431

Prime factors of 29431 are 19, 1549. Prime factorization of 29431 in exponential form is:

29431 = 191 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 29417 and 29431.

LCM(29417,29431) = 231 × 12791 × 191 × 15491
LCM(29417,29431) = 865771727