What is the Least Common Multiple of 17789 and 17806?
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 17789 and 17806 is 316750934.
LCM(17789,17806) = 316750934
Least Common Multiple of 17789 and 17806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17789 and 17806, than apply into the LCM equation.
GCF(17789,17806) = 1
LCM(17789,17806) = ( 17789 × 17806) / 1
LCM(17789,17806) = 316750934 / 1
LCM(17789,17806) = 316750934
Least Common Multiple (LCM) of 17789 and 17806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17789 and 17806. First we will calculate the prime factors of 17789 and 17806.
Prime Factorization of 17789
Prime factors of 17789 are 17789. Prime factorization of 17789 in exponential form is:
17789 = 177891
Prime Factorization of 17806
Prime factors of 17806 are 2, 29, 307. Prime factorization of 17806 in exponential form is:
17806 = 21 × 291 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 17789 and 17806.
LCM(17789,17806) = 177891 × 21 × 291 × 3071
LCM(17789,17806) = 316750934
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