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What is the Least Common Multiple of 99357 and 99376?

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 99357 and 99376 is 9873701232.

LCM(99357,99376) = 9873701232

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Least Common Multiple of 99357 and 99376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99357 and 99376, than apply into the LCM equation.

GCF(99357,99376) = 1
LCM(99357,99376) = ( 99357 × 99376) / 1
LCM(99357,99376) = 9873701232 / 1
LCM(99357,99376) = 9873701232

Least Common Multiple (LCM) of 99357 and 99376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99357 and 99376. First we will calculate the prime factors of 99357 and 99376.

Prime Factorization of 99357

Prime factors of 99357 are 3, 33119. Prime factorization of 99357 in exponential form is:

99357 = 31 × 331191

Prime Factorization of 99376

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

99376 = 24 × 62111

Now multiplying the highest exponent prime factors to calculate the LCM of 99357 and 99376.

LCM(99357,99376) = 31 × 331191 × 24 × 62111
LCM(99357,99376) = 9873701232