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What is the Least Common Multiple of 99197 and 99212?

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 99197 and 99212 is 9841532764.

LCM(99197,99212) = 9841532764

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Least Common Multiple of 99197 and 99212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99197 and 99212, than apply into the LCM equation.

GCF(99197,99212) = 1
LCM(99197,99212) = ( 99197 × 99212) / 1
LCM(99197,99212) = 9841532764 / 1
LCM(99197,99212) = 9841532764

Least Common Multiple (LCM) of 99197 and 99212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99197 and 99212. First we will calculate the prime factors of 99197 and 99212.

Prime Factorization of 99197

Prime factors of 99197 are 7, 37, 383. Prime factorization of 99197 in exponential form is:

99197 = 71 × 371 × 3831

Prime Factorization of 99212

Prime factors of 99212 are 2, 17, 1459. Prime factorization of 99212 in exponential form is:

99212 = 22 × 171 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 99197 and 99212.

LCM(99197,99212) = 71 × 371 × 3831 × 22 × 171 × 14591
LCM(99197,99212) = 9841532764