What is the Least Common Multiple of 8847 and 8855?
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 8847 and 8855 is 78340185.
LCM(8847,8855) = 78340185
Least Common Multiple of 8847 and 8855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8847 and 8855, than apply into the LCM equation.
GCF(8847,8855) = 1
LCM(8847,8855) = ( 8847 × 8855) / 1
LCM(8847,8855) = 78340185 / 1
LCM(8847,8855) = 78340185
Least Common Multiple (LCM) of 8847 and 8855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8855. First we will calculate the prime factors of 8847 and 8855.
Prime Factorization of 8847
Prime factors of 8847 are 3, 983. Prime factorization of 8847 in exponential form is:
8847 = 32 × 9831
Prime Factorization of 8855
Prime factors of 8855 are 5, 7, 11, 23. Prime factorization of 8855 in exponential form is:
8855 = 51 × 71 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8855.
LCM(8847,8855) = 32 × 9831 × 51 × 71 × 111 × 231
LCM(8847,8855) = 78340185
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