What is the Least Common Multiple of 4867 and 4886?
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 4867 and 4886 is 23780162.
LCM(4867,4886) = 23780162
Least Common Multiple of 4867 and 4886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4867 and 4886, than apply into the LCM equation.
GCF(4867,4886) = 1
LCM(4867,4886) = ( 4867 × 4886) / 1
LCM(4867,4886) = 23780162 / 1
LCM(4867,4886) = 23780162
Least Common Multiple (LCM) of 4867 and 4886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4867 and 4886. First we will calculate the prime factors of 4867 and 4886.
Prime Factorization of 4867
Prime factors of 4867 are 31, 157. Prime factorization of 4867 in exponential form is:
4867 = 311 × 1571
Prime Factorization of 4886
Prime factors of 4886 are 2, 7, 349. Prime factorization of 4886 in exponential form is:
4886 = 21 × 71 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 4867 and 4886.
LCM(4867,4886) = 311 × 1571 × 21 × 71 × 3491
LCM(4867,4886) = 23780162
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