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What is the Least Common Multiple of 99087 and 99106?

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 99087 and 99106 is 9820116222.

LCM(99087,99106) = 9820116222

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Least Common Multiple of 99087 and 99106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99087 and 99106, than apply into the LCM equation.

GCF(99087,99106) = 1
LCM(99087,99106) = ( 99087 × 99106) / 1
LCM(99087,99106) = 9820116222 / 1
LCM(99087,99106) = 9820116222

Least Common Multiple (LCM) of 99087 and 99106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99087 and 99106. First we will calculate the prime factors of 99087 and 99106.

Prime Factorization of 99087

Prime factors of 99087 are 3, 33029. Prime factorization of 99087 in exponential form is:

99087 = 31 × 330291

Prime Factorization of 99106

Prime factors of 99106 are 2, 7, 7079. Prime factorization of 99106 in exponential form is:

99106 = 21 × 71 × 70791

Now multiplying the highest exponent prime factors to calculate the LCM of 99087 and 99106.

LCM(99087,99106) = 31 × 330291 × 21 × 71 × 70791
LCM(99087,99106) = 9820116222