What is the Least Common Multiple of 35081 and 35099?
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 35081 and 35099 is 1231308019.
LCM(35081,35099) = 1231308019
Least Common Multiple of 35081 and 35099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35081 and 35099, than apply into the LCM equation.
GCF(35081,35099) = 1
LCM(35081,35099) = ( 35081 × 35099) / 1
LCM(35081,35099) = 1231308019 / 1
LCM(35081,35099) = 1231308019
Least Common Multiple (LCM) of 35081 and 35099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35081 and 35099. First we will calculate the prime factors of 35081 and 35099.
Prime Factorization of 35081
Prime factors of 35081 are 35081. Prime factorization of 35081 in exponential form is:
35081 = 350811
Prime Factorization of 35099
Prime factors of 35099 are 35099. Prime factorization of 35099 in exponential form is:
35099 = 350991
Now multiplying the highest exponent prime factors to calculate the LCM of 35081 and 35099.
LCM(35081,35099) = 350811 × 350991
LCM(35081,35099) = 1231308019
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