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What is the Least Common Multiple of 99146 and 99155?

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 99146 and 99155 is 9830821630.

LCM(99146,99155) = 9830821630

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Least Common Multiple of 99146 and 99155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99146 and 99155, than apply into the LCM equation.

GCF(99146,99155) = 1
LCM(99146,99155) = ( 99146 × 99155) / 1
LCM(99146,99155) = 9830821630 / 1
LCM(99146,99155) = 9830821630

Least Common Multiple (LCM) of 99146 and 99155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99146 and 99155. First we will calculate the prime factors of 99146 and 99155.

Prime Factorization of 99146

Prime factors of 99146 are 2, 89, 557. Prime factorization of 99146 in exponential form is:

99146 = 21 × 891 × 5571

Prime Factorization of 99155

Prime factors of 99155 are 5, 7, 2833. Prime factorization of 99155 in exponential form is:

99155 = 51 × 71 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 99146 and 99155.

LCM(99146,99155) = 21 × 891 × 5571 × 51 × 71 × 28331
LCM(99146,99155) = 9830821630