What is the Least Common Multiple of 4883 and 4887?
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 4883 and 4887 is 23863221.
LCM(4883,4887) = 23863221
Least Common Multiple of 4883 and 4887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4883 and 4887, than apply into the LCM equation.
GCF(4883,4887) = 1
LCM(4883,4887) = ( 4883 × 4887) / 1
LCM(4883,4887) = 23863221 / 1
LCM(4883,4887) = 23863221
Least Common Multiple (LCM) of 4883 and 4887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4883 and 4887. First we will calculate the prime factors of 4883 and 4887.
Prime Factorization of 4883
Prime factors of 4883 are 19, 257. Prime factorization of 4883 in exponential form is:
4883 = 191 × 2571
Prime Factorization of 4887
Prime factors of 4887 are 3, 181. Prime factorization of 4887 in exponential form is:
4887 = 33 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 4883 and 4887.
LCM(4883,4887) = 191 × 2571 × 33 × 1811
LCM(4883,4887) = 23863221
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