What is the Least Common Multiple of 4168 and 4177?
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 4168 and 4177 is 17409736.
LCM(4168,4177) = 17409736
Least Common Multiple of 4168 and 4177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4168 and 4177, than apply into the LCM equation.
GCF(4168,4177) = 1
LCM(4168,4177) = ( 4168 × 4177) / 1
LCM(4168,4177) = 17409736 / 1
LCM(4168,4177) = 17409736
Least Common Multiple (LCM) of 4168 and 4177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4168 and 4177. First we will calculate the prime factors of 4168 and 4177.
Prime Factorization of 4168
Prime factors of 4168 are 2, 521. Prime factorization of 4168 in exponential form is:
4168 = 23 × 5211
Prime Factorization of 4177
Prime factors of 4177 are 4177. Prime factorization of 4177 in exponential form is:
4177 = 41771
Now multiplying the highest exponent prime factors to calculate the LCM of 4168 and 4177.
LCM(4168,4177) = 23 × 5211 × 41771
LCM(4168,4177) = 17409736
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