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What is the Least Common Multiple of 99694 and 99709?

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 99694 and 99709 is 9940389046.

LCM(99694,99709) = 9940389046

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Least Common Multiple of 99694 and 99709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99694 and 99709, than apply into the LCM equation.

GCF(99694,99709) = 1
LCM(99694,99709) = ( 99694 × 99709) / 1
LCM(99694,99709) = 9940389046 / 1
LCM(99694,99709) = 9940389046

Least Common Multiple (LCM) of 99694 and 99709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99694 and 99709. First we will calculate the prime factors of 99694 and 99709.

Prime Factorization of 99694

Prime factors of 99694 are 2, 7, 7121. Prime factorization of 99694 in exponential form is:

99694 = 21 × 71 × 71211

Prime Factorization of 99709

Prime factors of 99709 are 99709. Prime factorization of 99709 in exponential form is:

99709 = 997091

Now multiplying the highest exponent prime factors to calculate the LCM of 99694 and 99709.

LCM(99694,99709) = 21 × 71 × 71211 × 997091
LCM(99694,99709) = 9940389046