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What is the Least Common Multiple of 99241 and 99245?

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 99241 and 99245 is 9849173045.

LCM(99241,99245) = 9849173045

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Least Common Multiple of 99241 and 99245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99241 and 99245, than apply into the LCM equation.

GCF(99241,99245) = 1
LCM(99241,99245) = ( 99241 × 99245) / 1
LCM(99241,99245) = 9849173045 / 1
LCM(99241,99245) = 9849173045

Least Common Multiple (LCM) of 99241 and 99245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99241 and 99245. First we will calculate the prime factors of 99241 and 99245.

Prime Factorization of 99241

Prime factors of 99241 are 99241. Prime factorization of 99241 in exponential form is:

99241 = 992411

Prime Factorization of 99245

Prime factors of 99245 are 5, 23, 863. Prime factorization of 99245 in exponential form is:

99245 = 51 × 231 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 99241 and 99245.

LCM(99241,99245) = 992411 × 51 × 231 × 8631
LCM(99241,99245) = 9849173045