What is the Least Common Multiple of 29163 and 29171?
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 29163 and 29171 is 850713873.
LCM(29163,29171) = 850713873
Least Common Multiple of 29163 and 29171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29163 and 29171, than apply into the LCM equation.
GCF(29163,29171) = 1
LCM(29163,29171) = ( 29163 × 29171) / 1
LCM(29163,29171) = 850713873 / 1
LCM(29163,29171) = 850713873
Least Common Multiple (LCM) of 29163 and 29171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29163 and 29171. First we will calculate the prime factors of 29163 and 29171.
Prime Factorization of 29163
Prime factors of 29163 are 3, 9721. Prime factorization of 29163 in exponential form is:
29163 = 31 × 97211
Prime Factorization of 29171
Prime factors of 29171 are 31, 941. Prime factorization of 29171 in exponential form is:
29171 = 311 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 29163 and 29171.
LCM(29163,29171) = 31 × 97211 × 311 × 9411
LCM(29163,29171) = 850713873
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