What is the Least Common Multiple of 8817 and 8831?
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 8817 and 8831 is 77862927.
LCM(8817,8831) = 77862927
Least Common Multiple of 8817 and 8831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8817 and 8831, than apply into the LCM equation.
GCF(8817,8831) = 1
LCM(8817,8831) = ( 8817 × 8831) / 1
LCM(8817,8831) = 77862927 / 1
LCM(8817,8831) = 77862927
Least Common Multiple (LCM) of 8817 and 8831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8817 and 8831. First we will calculate the prime factors of 8817 and 8831.
Prime Factorization of 8817
Prime factors of 8817 are 3, 2939. Prime factorization of 8817 in exponential form is:
8817 = 31 × 29391
Prime Factorization of 8831
Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:
8831 = 88311
Now multiplying the highest exponent prime factors to calculate the LCM of 8817 and 8831.
LCM(8817,8831) = 31 × 29391 × 88311
LCM(8817,8831) = 77862927
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