What is the Least Common Multiple of 17786 and 17795?
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 17786 and 17795 is 316501870.
LCM(17786,17795) = 316501870
Least Common Multiple of 17786 and 17795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17786 and 17795, than apply into the LCM equation.
GCF(17786,17795) = 1
LCM(17786,17795) = ( 17786 × 17795) / 1
LCM(17786,17795) = 316501870 / 1
LCM(17786,17795) = 316501870
Least Common Multiple (LCM) of 17786 and 17795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17786 and 17795. First we will calculate the prime factors of 17786 and 17795.
Prime Factorization of 17786
Prime factors of 17786 are 2, 8893. Prime factorization of 17786 in exponential form is:
17786 = 21 × 88931
Prime Factorization of 17795
Prime factors of 17795 are 5, 3559. Prime factorization of 17795 in exponential form is:
17795 = 51 × 35591
Now multiplying the highest exponent prime factors to calculate the LCM of 17786 and 17795.
LCM(17786,17795) = 21 × 88931 × 51 × 35591
LCM(17786,17795) = 316501870
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