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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

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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