What is the Least Common Multiple of 867 and 886?
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 867 and 886 is 768162.
LCM(867,886) = 768162
Least Common Multiple of 867 and 886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 867 and 886, than apply into the LCM equation.
GCF(867,886) = 1
LCM(867,886) = ( 867 × 886) / 1
LCM(867,886) = 768162 / 1
LCM(867,886) = 768162
Least Common Multiple (LCM) of 867 and 886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 886. First we will calculate the prime factors of 867 and 886.
Prime Factorization of 867
Prime factors of 867 are 3, 17. Prime factorization of 867 in exponential form is:
867 = 31 × 172
Prime Factorization of 886
Prime factors of 886 are 2, 443. Prime factorization of 886 in exponential form is:
886 = 21 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 867 and 886.
LCM(867,886) = 31 × 172 × 21 × 4431
LCM(867,886) = 768162
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