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What is the Least Common Multiple of 99376 and 99393?

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 99376 and 99393 is 9877278768.

LCM(99376,99393) = 9877278768

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Least Common Multiple of 99376 and 99393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99376 and 99393, than apply into the LCM equation.

GCF(99376,99393) = 1
LCM(99376,99393) = ( 99376 × 99393) / 1
LCM(99376,99393) = 9877278768 / 1
LCM(99376,99393) = 9877278768

Least Common Multiple (LCM) of 99376 and 99393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99376 and 99393. First we will calculate the prime factors of 99376 and 99393.

Prime Factorization of 99376

Prime factors of 99376 are 2, 6211. Prime factorization of 99376 in exponential form is:

99376 = 24 × 62111

Prime Factorization of 99393

Prime factors of 99393 are 3, 7, 4733. Prime factorization of 99393 in exponential form is:

99393 = 31 × 71 × 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 99376 and 99393.

LCM(99376,99393) = 24 × 62111 × 31 × 71 × 47331
LCM(99376,99393) = 9877278768