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What is the Least Common Multiple of 99844 and 99851?

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 99844 and 99851 is 9969523244.

LCM(99844,99851) = 9969523244

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Least Common Multiple of 99844 and 99851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99844 and 99851, than apply into the LCM equation.

GCF(99844,99851) = 1
LCM(99844,99851) = ( 99844 × 99851) / 1
LCM(99844,99851) = 9969523244 / 1
LCM(99844,99851) = 9969523244

Least Common Multiple (LCM) of 99844 and 99851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99844 and 99851. First we will calculate the prime factors of 99844 and 99851.

Prime Factorization of 99844

Prime factors of 99844 are 2, 109, 229. Prime factorization of 99844 in exponential form is:

99844 = 22 × 1091 × 2291

Prime Factorization of 99851

Prime factors of 99851 are 31, 3221. Prime factorization of 99851 in exponential form is:

99851 = 311 × 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 99844 and 99851.

LCM(99844,99851) = 22 × 1091 × 2291 × 311 × 32211
LCM(99844,99851) = 9969523244