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What is the Least Common Multiple of 93379 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 93379 and 93394 is 8721038326.

LCM(93379,93394) = 8721038326

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Least Common Multiple of 93379 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 93379 and 93394, than apply into the LCM equation.

GCF(93379,93394) = 1
LCM(93379,93394) = ( 93379 × 93394) / 1
LCM(93379,93394) = 8721038326 / 1
LCM(93379,93394) = 8721038326

Least Common Multiple (LCM) of 93379 and 93394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93379 and 93394. First we will calculate the prime factors of 93379 and 93394.

Prime Factorization of 93379

Prime factors of 93379 are 11, 13, 653. Prime factorization of 93379 in exponential form is:

93379 = 111 × 131 × 6531

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 93379 and 93394.

LCM(93379,93394) = 111 × 131 × 6531 × 21 × 72 × 9531
LCM(93379,93394) = 8721038326