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What is the Least Common Multiple of 99097 and 99111?

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 99097 and 99111 is 9821602767.

LCM(99097,99111) = 9821602767

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Least Common Multiple of 99097 and 99111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99097 and 99111, than apply into the LCM equation.

GCF(99097,99111) = 1
LCM(99097,99111) = ( 99097 × 99111) / 1
LCM(99097,99111) = 9821602767 / 1
LCM(99097,99111) = 9821602767

Least Common Multiple (LCM) of 99097 and 99111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99097 and 99111. First we will calculate the prime factors of 99097 and 99111.

Prime Factorization of 99097

Prime factors of 99097 are 41, 2417. Prime factorization of 99097 in exponential form is:

99097 = 411 × 24171

Prime Factorization of 99111

Prime factors of 99111 are 3, 33037. Prime factorization of 99111 in exponential form is:

99111 = 31 × 330371

Now multiplying the highest exponent prime factors to calculate the LCM of 99097 and 99111.

LCM(99097,99111) = 411 × 24171 × 31 × 330371
LCM(99097,99111) = 9821602767