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What is the Least Common Multiple of 93409 and 93414?

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 93409 and 93414 is 8725708326.

LCM(93409,93414) = 8725708326

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Least Common Multiple of 93409 and 93414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93409 and 93414, than apply into the LCM equation.

GCF(93409,93414) = 1
LCM(93409,93414) = ( 93409 × 93414) / 1
LCM(93409,93414) = 8725708326 / 1
LCM(93409,93414) = 8725708326

Least Common Multiple (LCM) of 93409 and 93414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93409 and 93414. First we will calculate the prime factors of 93409 and 93414.

Prime Factorization of 93409

Prime factors of 93409 are 29, 3221. Prime factorization of 93409 in exponential form is:

93409 = 291 × 32211

Prime Factorization of 93414

Prime factors of 93414 are 2, 3, 15569. Prime factorization of 93414 in exponential form is:

93414 = 21 × 31 × 155691

Now multiplying the highest exponent prime factors to calculate the LCM of 93409 and 93414.

LCM(93409,93414) = 291 × 32211 × 21 × 31 × 155691
LCM(93409,93414) = 8725708326