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What is the Least Common Multiple of 93369 and 93379?

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 93369 and 93379 is 8718703851.

LCM(93369,93379) = 8718703851

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Least Common Multiple of 93369 and 93379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93369 and 93379, than apply into the LCM equation.

GCF(93369,93379) = 1
LCM(93369,93379) = ( 93369 × 93379) / 1
LCM(93369,93379) = 8718703851 / 1
LCM(93369,93379) = 8718703851

Least Common Multiple (LCM) of 93369 and 93379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93369 and 93379. First we will calculate the prime factors of 93369 and 93379.

Prime Factorization of 93369

Prime factors of 93369 are 3, 31123. Prime factorization of 93369 in exponential form is:

93369 = 31 × 311231

Prime Factorization of 93379

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

93379 = 111 × 131 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 93369 and 93379.

LCM(93369,93379) = 31 × 311231 × 111 × 131 × 6531
LCM(93369,93379) = 8718703851