What is the Least Common Multiple of 34081 and 34087?
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 34081 and 34087 is 1161719047.
LCM(34081,34087) = 1161719047
Least Common Multiple of 34081 and 34087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34081 and 34087, than apply into the LCM equation.
GCF(34081,34087) = 1
LCM(34081,34087) = ( 34081 × 34087) / 1
LCM(34081,34087) = 1161719047 / 1
LCM(34081,34087) = 1161719047
Least Common Multiple (LCM) of 34081 and 34087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34081 and 34087. First we will calculate the prime factors of 34081 and 34087.
Prime Factorization of 34081
Prime factors of 34081 are 173, 197. Prime factorization of 34081 in exponential form is:
34081 = 1731 × 1971
Prime Factorization of 34087
Prime factors of 34087 are 89, 383. Prime factorization of 34087 in exponential form is:
34087 = 891 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 34081 and 34087.
LCM(34081,34087) = 1731 × 1971 × 891 × 3831
LCM(34081,34087) = 1161719047
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