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What is the Least Common Multiple of 29408 and 29414?

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 29408 and 29414 is 432503456.

LCM(29408,29414) = 432503456

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Least Common Multiple of 29408 and 29414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29408 and 29414, than apply into the LCM equation.

GCF(29408,29414) = 2
LCM(29408,29414) = ( 29408 × 29414) / 2
LCM(29408,29414) = 865006912 / 2
LCM(29408,29414) = 432503456

Least Common Multiple (LCM) of 29408 and 29414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29408 and 29414. First we will calculate the prime factors of 29408 and 29414.

Prime Factorization of 29408

Prime factors of 29408 are 2, 919. Prime factorization of 29408 in exponential form is:

29408 = 25 × 9191

Prime Factorization of 29414

Prime factors of 29414 are 2, 7, 11, 191. Prime factorization of 29414 in exponential form is:

29414 = 21 × 71 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 29408 and 29414.

LCM(29408,29414) = 25 × 9191 × 71 × 111 × 1911
LCM(29408,29414) = 432503456