What is the Least Common Multiple of 29081 and 29097?
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 29081 and 29097 is 846169857.
LCM(29081,29097) = 846169857
Least Common Multiple of 29081 and 29097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29081 and 29097, than apply into the LCM equation.
GCF(29081,29097) = 1
LCM(29081,29097) = ( 29081 × 29097) / 1
LCM(29081,29097) = 846169857 / 1
LCM(29081,29097) = 846169857
Least Common Multiple (LCM) of 29081 and 29097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29081 and 29097. First we will calculate the prime factors of 29081 and 29097.
Prime Factorization of 29081
Prime factors of 29081 are 13, 2237. Prime factorization of 29081 in exponential form is:
29081 = 131 × 22371
Prime Factorization of 29097
Prime factors of 29097 are 3, 53, 61. Prime factorization of 29097 in exponential form is:
29097 = 32 × 531 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 29081 and 29097.
LCM(29081,29097) = 131 × 22371 × 32 × 531 × 611
LCM(29081,29097) = 846169857
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