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What is the Least Common Multiple of 93389 and 93394?

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 93389 and 93394 is 8721972266.

LCM(93389,93394) = 8721972266

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Least Common Multiple of 93389 and 93394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93389 and 93394, than apply into the LCM equation.

GCF(93389,93394) = 1
LCM(93389,93394) = ( 93389 × 93394) / 1
LCM(93389,93394) = 8721972266 / 1
LCM(93389,93394) = 8721972266

Least Common Multiple (LCM) of 93389 and 93394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93389 and 93394. First we will calculate the prime factors of 93389 and 93394.

Prime Factorization of 93389

Prime factors of 93389 are 47, 1987. Prime factorization of 93389 in exponential form is:

93389 = 471 × 19871

Prime Factorization of 93394

Prime factors of 93394 are 2, 7, 953. Prime factorization of 93394 in exponential form is:

93394 = 21 × 72 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 93389 and 93394.

LCM(93389,93394) = 471 × 19871 × 21 × 72 × 9531
LCM(93389,93394) = 8721972266