What is the Least Common Multiple of 8093 and 8101?
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 8101 is 65561393.
LCM(8093,8101) = 65561393
Least Common Multiple of 8093 and 8101 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 8101, than apply into the LCM equation.
GCF(8093,8101) = 1
LCM(8093,8101) = ( 8093 × 8101) / 1
LCM(8093,8101) = 65561393 / 1
LCM(8093,8101) = 65561393
Least Common Multiple (LCM) of 8093 and 8101 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8093 and 8101. First we will calculate the prime factors of 8093 and 8101.
Prime Factorization of 8093
Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:
8093 = 80931
Prime Factorization of 8101
Prime factors of 8101 are 8101. Prime factorization of 8101 in exponential form is:
8101 = 81011
Now multiplying the highest exponent prime factors to calculate the LCM of 8093 and 8101.
LCM(8093,8101) = 80931 × 81011
LCM(8093,8101) = 65561393
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