What is the Least Common Multiple of 4881 and 4889?
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 4881 and 4889 is 23863209.
LCM(4881,4889) = 23863209
Least Common Multiple of 4881 and 4889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4881 and 4889, than apply into the LCM equation.
GCF(4881,4889) = 1
LCM(4881,4889) = ( 4881 × 4889) / 1
LCM(4881,4889) = 23863209 / 1
LCM(4881,4889) = 23863209
Least Common Multiple (LCM) of 4881 and 4889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4881 and 4889. First we will calculate the prime factors of 4881 and 4889.
Prime Factorization of 4881
Prime factors of 4881 are 3, 1627. Prime factorization of 4881 in exponential form is:
4881 = 31 × 16271
Prime Factorization of 4889
Prime factors of 4889 are 4889. Prime factorization of 4889 in exponential form is:
4889 = 48891
Now multiplying the highest exponent prime factors to calculate the LCM of 4881 and 4889.
LCM(4881,4889) = 31 × 16271 × 48891
LCM(4881,4889) = 23863209
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