What is the Least Common Multiple of 8867 and 8873?
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 8867 and 8873 is 78676891.
LCM(8867,8873) = 78676891
Least Common Multiple of 8867 and 8873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8867 and 8873, than apply into the LCM equation.
GCF(8867,8873) = 1
LCM(8867,8873) = ( 8867 × 8873) / 1
LCM(8867,8873) = 78676891 / 1
LCM(8867,8873) = 78676891
Least Common Multiple (LCM) of 8867 and 8873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8867 and 8873. First we will calculate the prime factors of 8867 and 8873.
Prime Factorization of 8867
Prime factors of 8867 are 8867. Prime factorization of 8867 in exponential form is:
8867 = 88671
Prime Factorization of 8873
Prime factors of 8873 are 19, 467. Prime factorization of 8873 in exponential form is:
8873 = 191 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 8867 and 8873.
LCM(8867,8873) = 88671 × 191 × 4671
LCM(8867,8873) = 78676891
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