What is the Least Common Multiple of 8865 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 8865 and 8873 is 78659145.
LCM(8865,8873) = 78659145
Least Common Multiple of 8865 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 8865 and 8873, than apply into the LCM equation.
GCF(8865,8873) = 1
LCM(8865,8873) = ( 8865 × 8873) / 1
LCM(8865,8873) = 78659145 / 1
LCM(8865,8873) = 78659145
Least Common Multiple (LCM) of 8865 and 8873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8865 and 8873. First we will calculate the prime factors of 8865 and 8873.
Prime Factorization of 8865
Prime factors of 8865 are 3, 5, 197. Prime factorization of 8865 in exponential form is:
8865 = 32 × 51 × 1971
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 8865 and 8873.
LCM(8865,8873) = 32 × 51 × 1971 × 191 × 4671
LCM(8865,8873) = 78659145
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