What is the Least Common Multiple of 8087 and 8093?
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 8087 and 8093 is 65448091.
LCM(8087,8093) = 65448091
Least Common Multiple of 8087 and 8093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8087 and 8093, than apply into the LCM equation.
GCF(8087,8093) = 1
LCM(8087,8093) = ( 8087 × 8093) / 1
LCM(8087,8093) = 65448091 / 1
LCM(8087,8093) = 65448091
Least Common Multiple (LCM) of 8087 and 8093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8087 and 8093. First we will calculate the prime factors of 8087 and 8093.
Prime Factorization of 8087
Prime factors of 8087 are 8087. Prime factorization of 8087 in exponential form is:
8087 = 80871
Prime Factorization of 8093
Prime factors of 8093 are 8093. Prime factorization of 8093 in exponential form is:
8093 = 80931
Now multiplying the highest exponent prime factors to calculate the LCM of 8087 and 8093.
LCM(8087,8093) = 80871 × 80931
LCM(8087,8093) = 65448091
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