What is the Least Common Multiple of 99797 and 99806?
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 99797 and 99806 is 9960339382.
LCM(99797,99806) = 9960339382
Least Common Multiple of 99797 and 99806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99797 and 99806, than apply into the LCM equation.
GCF(99797,99806) = 1
LCM(99797,99806) = ( 99797 × 99806) / 1
LCM(99797,99806) = 9960339382 / 1
LCM(99797,99806) = 9960339382
Least Common Multiple (LCM) of 99797 and 99806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99797 and 99806. First we will calculate the prime factors of 99797 and 99806.
Prime Factorization of 99797
Prime factors of 99797 are 23, 4339. Prime factorization of 99797 in exponential form is:
99797 = 231 × 43391
Prime Factorization of 99806
Prime factors of 99806 are 2, 7, 7129. Prime factorization of 99806 in exponential form is:
99806 = 21 × 71 × 71291
Now multiplying the highest exponent prime factors to calculate the LCM of 99797 and 99806.
LCM(99797,99806) = 231 × 43391 × 21 × 71 × 71291
LCM(99797,99806) = 9960339382
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