What is the Least Common Multiple of 80177 and 80193?
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 80177 and 80193 is 6429634161.
LCM(80177,80193) = 6429634161
Least Common Multiple of 80177 and 80193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80177 and 80193, than apply into the LCM equation.
GCF(80177,80193) = 1
LCM(80177,80193) = ( 80177 × 80193) / 1
LCM(80177,80193) = 6429634161 / 1
LCM(80177,80193) = 6429634161
Least Common Multiple (LCM) of 80177 and 80193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80177 and 80193. First we will calculate the prime factors of 80177 and 80193.
Prime Factorization of 80177
Prime factors of 80177 are 80177. Prime factorization of 80177 in exponential form is:
80177 = 801771
Prime Factorization of 80193
Prime factors of 80193 are 3, 26731. Prime factorization of 80193 in exponential form is:
80193 = 31 × 267311
Now multiplying the highest exponent prime factors to calculate the LCM of 80177 and 80193.
LCM(80177,80193) = 801771 × 31 × 267311
LCM(80177,80193) = 6429634161
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