What is the Least Common Multiple of 29151 and 29163?
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 29151 and 29163 is 283376871.
LCM(29151,29163) = 283376871
Least Common Multiple of 29151 and 29163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29151 and 29163, than apply into the LCM equation.
GCF(29151,29163) = 3
LCM(29151,29163) = ( 29151 × 29163) / 3
LCM(29151,29163) = 850130613 / 3
LCM(29151,29163) = 283376871
Least Common Multiple (LCM) of 29151 and 29163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29151 and 29163. First we will calculate the prime factors of 29151 and 29163.
Prime Factorization of 29151
Prime factors of 29151 are 3, 41, 79. Prime factorization of 29151 in exponential form is:
29151 = 32 × 411 × 791
Prime Factorization of 29163
Prime factors of 29163 are 3, 9721. Prime factorization of 29163 in exponential form is:
29163 = 31 × 97211
Now multiplying the highest exponent prime factors to calculate the LCM of 29151 and 29163.
LCM(29151,29163) = 32 × 411 × 791 × 97211
LCM(29151,29163) = 283376871
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