What is the Least Common Multiple of 17167 and 17185?
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 17167 and 17185 is 295014895.
LCM(17167,17185) = 295014895
Least Common Multiple of 17167 and 17185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17167 and 17185, than apply into the LCM equation.
GCF(17167,17185) = 1
LCM(17167,17185) = ( 17167 × 17185) / 1
LCM(17167,17185) = 295014895 / 1
LCM(17167,17185) = 295014895
Least Common Multiple (LCM) of 17167 and 17185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17167 and 17185. First we will calculate the prime factors of 17167 and 17185.
Prime Factorization of 17167
Prime factors of 17167 are 17167. Prime factorization of 17167 in exponential form is:
17167 = 171671
Prime Factorization of 17185
Prime factors of 17185 are 5, 7, 491. Prime factorization of 17185 in exponential form is:
17185 = 51 × 71 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 17167 and 17185.
LCM(17167,17185) = 171671 × 51 × 71 × 4911
LCM(17167,17185) = 295014895
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