What is the Least Common Multiple of 4873 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 4873 and 4887 is 23814351.
LCM(4873,4887) = 23814351
Least Common Multiple of 4873 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 4873 and 4887, than apply into the LCM equation.
GCF(4873,4887) = 1
LCM(4873,4887) = ( 4873 × 4887) / 1
LCM(4873,4887) = 23814351 / 1
LCM(4873,4887) = 23814351
Least Common Multiple (LCM) of 4873 and 4887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4873 and 4887. First we will calculate the prime factors of 4873 and 4887.
Prime Factorization of 4873
Prime factors of 4873 are 11, 443. Prime factorization of 4873 in exponential form is:
4873 = 111 × 4431
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 4873 and 4887.
LCM(4873,4887) = 111 × 4431 × 33 × 1811
LCM(4873,4887) = 23814351
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