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What is the Least Common Multiple of 93359 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 93359 and 93379 is 8717770061.

LCM(93359,93379) = 8717770061

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Least Common Multiple of 93359 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 93359 and 93379, than apply into the LCM equation.

GCF(93359,93379) = 1
LCM(93359,93379) = ( 93359 × 93379) / 1
LCM(93359,93379) = 8717770061 / 1
LCM(93359,93379) = 8717770061

Least Common Multiple (LCM) of 93359 and 93379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93359 and 93379. First we will calculate the prime factors of 93359 and 93379.

Prime Factorization of 93359

Prime factors of 93359 are 7, 13337. Prime factorization of 93359 in exponential form is:

93359 = 71 × 133371

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 93359 and 93379.

LCM(93359,93379) = 71 × 133371 × 111 × 131 × 6531
LCM(93359,93379) = 8717770061