What is the Least Common Multiple of 35081 and 35087?
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 35087 is 1230887047.
LCM(35081,35087) = 1230887047
Least Common Multiple of 35081 and 35087 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 35087, than apply into the LCM equation.
GCF(35081,35087) = 1
LCM(35081,35087) = ( 35081 × 35087) / 1
LCM(35081,35087) = 1230887047 / 1
LCM(35081,35087) = 1230887047
Least Common Multiple (LCM) of 35081 and 35087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35081 and 35087. First we will calculate the prime factors of 35081 and 35087.
Prime Factorization of 35081
Prime factors of 35081 are 35081. Prime factorization of 35081 in exponential form is:
35081 = 350811
Prime Factorization of 35087
Prime factors of 35087 are 13, 2699. Prime factorization of 35087 in exponential form is:
35087 = 131 × 26991
Now multiplying the highest exponent prime factors to calculate the LCM of 35081 and 35087.
LCM(35081,35087) = 350811 × 131 × 26991
LCM(35081,35087) = 1230887047
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