Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8837 and 8841 the smallest integer that is 78127917 that is divisible by both numbers.
Least Common Multiple (LCM) of 8837 and 8841 is 78127917.
LCM(8837,8841) = 78127917
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 8837 and 8841. First we will calculate the prime factors of 8837 and 8841.
Prime Factorization of 8837
8837 | 8837 |
1 |
Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:
8837 = 88371
Prime Factorization of 8841
3 | 8841 |
7 | 2947 |
421 | 421 |
1 |
Prime factors of 8841 are 3, 7,421. Prime factorization of 8841 in exponential form is:
8841 = 31×71×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 8837 and 8841.
LCM(8837,8841) = 31×71×4211×88371
LCM(8837,8841) = 78127917
Factors of 8837
List of positive integer factors of 8837 that divides 8837 without a remainder.
1, 8837
Factors of 8841
List of positive integer factors of 8841 that divides 8841 without a remainder.
1, 3, 7, 21, 421, 1263, 2947, 8841
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8837 and 8841, than apply into the LCM equation.
GCF(8837,8841) = 1
LCM(8837,8841) = ( 8837 × 8841) / 1
LCM(8837,8841) = 78127917 / 1
LCM(8837,8841) = 78127917
(i) The LCM of 8841 and 8837 is associative
LCM of 8837 and 8841 = LCM of 8841 and 8837
1. What is the LCM of 8837 and 8841?
Answer: LCM of 8837 and 8841 is 78127917.
2. What are the Factors of 8837?
Answer: Factors of 8837 are 1, 8837. There are 2 integers that are factors of 8837. The greatest factor of 8837 is 8837.
3. What are the Factors of 8841?
Answer: Factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841. There are 8 integers that are factors of 8841. The greatest factor of 8841 is 8841.
4. How to Find the LCM of 8837 and 8841?
Answer:
Least Common Multiple of 8837 and 8841 = 78127917
Step 1: Find the prime factorization of 8837
8837 = 8837
Step 2: Find the prime factorization of 8841
8841 = 3 x 7 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78127917 = 3 x 7 x 421 x 8837
Step 4: Therefore, the least common multiple of 8837 and 8841 is 78127917.