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What is the Least Common Multiple of 93385 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 93385 and 93394 is 8721598690.

LCM(93385,93394) = 8721598690

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Least Common Multiple of 93385 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 93385 and 93394, than apply into the LCM equation.

GCF(93385,93394) = 1
LCM(93385,93394) = ( 93385 × 93394) / 1
LCM(93385,93394) = 8721598690 / 1
LCM(93385,93394) = 8721598690

Least Common Multiple (LCM) of 93385 and 93394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93385 and 93394. First we will calculate the prime factors of 93385 and 93394.

Prime Factorization of 93385

Prime factors of 93385 are 5, 19, 983. Prime factorization of 93385 in exponential form is:

93385 = 51 × 191 × 9831

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 93385 and 93394.

LCM(93385,93394) = 51 × 191 × 9831 × 21 × 72 × 9531
LCM(93385,93394) = 8721598690