What is the Least Common Multiple of 8093 and 8099?
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 8093 and 8099 is 65545207.
LCM(8093,8099) = 65545207
Least Common Multiple of 8093 and 8099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8093 and 8099, than apply into the LCM equation.
GCF(8093,8099) = 1
LCM(8093,8099) = ( 8093 × 8099) / 1
LCM(8093,8099) = 65545207 / 1
LCM(8093,8099) = 65545207
Least Common Multiple (LCM) of 8093 and 8099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8093 and 8099. First we will calculate the prime factors of 8093 and 8099.
Prime Factorization of 8093
Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:
8093 = 80931
Prime Factorization of 8099
Prime factors of 8099 are 7, 13, 89. Prime factorization of 8099 in exponential form is:
8099 = 71 × 131 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 8093 and 8099.
LCM(8093,8099) = 80931 × 71 × 131 × 891
LCM(8093,8099) = 65545207
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