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What is the Least Common Multiple of 99100 and 99116?

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 99100 and 99116 is 2455598900.

LCM(99100,99116) = 2455598900

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Least Common Multiple of 99100 and 99116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99100 and 99116, than apply into the LCM equation.

GCF(99100,99116) = 4
LCM(99100,99116) = ( 99100 × 99116) / 4
LCM(99100,99116) = 9822395600 / 4
LCM(99100,99116) = 2455598900

Least Common Multiple (LCM) of 99100 and 99116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99100 and 99116. First we will calculate the prime factors of 99100 and 99116.

Prime Factorization of 99100

Prime factors of 99100 are 2, 5, 991. Prime factorization of 99100 in exponential form is:

99100 = 22 × 52 × 9911

Prime Factorization of 99116

Prime factors of 99116 are 2, 71, 349. Prime factorization of 99116 in exponential form is:

99116 = 22 × 711 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 99100 and 99116.

LCM(99100,99116) = 22 × 52 × 9911 × 711 × 3491
LCM(99100,99116) = 2455598900