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What is the Least Common Multiple of 93364 and 93381?

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 93364 and 93381 is 512848452.

LCM(93364,93381) = 512848452

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Least Common Multiple of 93364 and 93381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93364 and 93381, than apply into the LCM equation.

GCF(93364,93381) = 17
LCM(93364,93381) = ( 93364 × 93381) / 17
LCM(93364,93381) = 8718423684 / 17
LCM(93364,93381) = 512848452

Least Common Multiple (LCM) of 93364 and 93381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93364 and 93381. First we will calculate the prime factors of 93364 and 93381.

Prime Factorization of 93364

Prime factors of 93364 are 2, 17, 1373. Prime factorization of 93364 in exponential form is:

93364 = 22 × 171 × 13731

Prime Factorization of 93381

Prime factors of 93381 are 3, 17, 1831. Prime factorization of 93381 in exponential form is:

93381 = 31 × 171 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 93364 and 93381.

LCM(93364,93381) = 22 × 171 × 13731 × 31 × 18311
LCM(93364,93381) = 512848452