Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8839 and 8843 the smallest integer that is 78163277 that is divisible by both numbers.
Least Common Multiple (LCM) of 8839 and 8843 is 78163277.
LCM(8839,8843) = 78163277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8839 and 8843. First we will calculate the prime factors of 8839 and 8843.
Prime Factorization of 8839
8839 | 8839 |
1 |
Prime factors of 8839 are 8839. Prime factorization of 8839 in exponential form is:
8839 = 88391
Prime Factorization of 8843
37 | 8843 |
239 | 239 |
1 |
Prime factors of 8843 are 37,239. Prime factorization of 8843 in exponential form is:
8843 = 371×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 8839 and 8843.
LCM(8839,8843) = 371×2391×88391
LCM(8839,8843) = 78163277
Factors of 8839
List of positive integer factors of 8839 that divides 8839 without a remainder.
1, 8839
Factors of 8843
List of positive integer factors of 8843 that divides 8843 without a remainder.
1, 37, 239, 8843
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8839 and 8843, than apply into the LCM equation.
GCF(8839,8843) = 1
LCM(8839,8843) = ( 8839 × 8843) / 1
LCM(8839,8843) = 78163277 / 1
LCM(8839,8843) = 78163277
(i) The LCM of 8843 and 8839 is associative
LCM of 8839 and 8843 = LCM of 8843 and 8839
1. What is the LCM of 8839 and 8843?
Answer: LCM of 8839 and 8843 is 78163277.
2. What are the Factors of 8839?
Answer: Factors of 8839 are 1, 8839. There are 2 integers that are factors of 8839. The greatest factor of 8839 is 8839.
3. What are the Factors of 8843?
Answer: Factors of 8843 are 1, 37, 239, 8843. There are 4 integers that are factors of 8843. The greatest factor of 8843 is 8843.
4. How to Find the LCM of 8839 and 8843?
Answer:
Least Common Multiple of 8839 and 8843 = 78163277
Step 1: Find the prime factorization of 8839
8839 = 8839
Step 2: Find the prime factorization of 8843
8843 = 37 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78163277 = 37 x 239 x 8839
Step 4: Therefore, the least common multiple of 8839 and 8843 is 78163277.