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What is the Least Common Multiple of 29399 and 29417?

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 29399 and 29417 is 864830383.

LCM(29399,29417) = 864830383

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Least Common Multiple of 29399 and 29417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29399 and 29417, than apply into the LCM equation.

GCF(29399,29417) = 1
LCM(29399,29417) = ( 29399 × 29417) / 1
LCM(29399,29417) = 864830383 / 1
LCM(29399,29417) = 864830383

Least Common Multiple (LCM) of 29399 and 29417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29399 and 29417. First we will calculate the prime factors of 29399 and 29417.

Prime Factorization of 29399

Prime factors of 29399 are 29399. Prime factorization of 29399 in exponential form is:

29399 = 293991

Prime Factorization of 29417

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

29417 = 231 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 29399 and 29417.

LCM(29399,29417) = 293991 × 231 × 12791
LCM(29399,29417) = 864830383