What is the Least Common Multiple of 8865 and 8869?
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 8869 is 78623685.
LCM(8865,8869) = 78623685
Least Common Multiple of 8865 and 8869 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 8869, than apply into the LCM equation.
GCF(8865,8869) = 1
LCM(8865,8869) = ( 8865 × 8869) / 1
LCM(8865,8869) = 78623685 / 1
LCM(8865,8869) = 78623685
Least Common Multiple (LCM) of 8865 and 8869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8865 and 8869. First we will calculate the prime factors of 8865 and 8869.
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 8869
Prime factors of 8869 are 7, 181. Prime factorization of 8869 in exponential form is:
8869 = 72 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 8865 and 8869.
LCM(8865,8869) = 32 × 51 × 1971 × 72 × 1811
LCM(8865,8869) = 78623685
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