Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8831 and 8837 the smallest integer that is 78039547 that is divisible by both numbers.
Least Common Multiple (LCM) of 8831 and 8837 is 78039547.
LCM(8831,8837) = 78039547
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 8831 and 8837. First we will calculate the prime factors of 8831 and 8837.
Prime Factorization of 8831
8831 | 8831 |
1 |
Prime factors of 8831 are 8831. Prime factorization of 8831 in exponential form is:
8831 = 88311
Prime Factorization of 8837
8837 | 8837 |
1 |
Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:
8837 = 88371
Now multiplying the highest exponent prime factors to calculate the LCM of 8831 and 8837.
LCM(8831,8837) = 88311×88371
LCM(8831,8837) = 78039547
Factors of 8831
List of positive integer factors of 8831 that divides 8831 without a remainder.
1, 8831
Factors of 8837
List of positive integer factors of 8837 that divides 8837 without a remainder.
1, 8837
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8831 and 8837, than apply into the LCM equation.
GCF(8831,8837) = 1
LCM(8831,8837) = ( 8831 × 8837) / 1
LCM(8831,8837) = 78039547 / 1
LCM(8831,8837) = 78039547
(i) The LCM of 8837 and 8831 is associative
LCM of 8831 and 8837 = LCM of 8837 and 8831
1. What is the LCM of 8831 and 8837?
Answer: LCM of 8831 and 8837 is 78039547.
2. What are the Factors of 8831?
Answer: Factors of 8831 are 1, 8831. There are 2 integers that are factors of 8831. The greatest factor of 8831 is 8831.
3. 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.
4. How to Find the LCM of 8831 and 8837?
Answer:
Least Common Multiple of 8831 and 8837 = 78039547
Step 1: Find the prime factorization of 8831
8831 = 8831
Step 2: Find the prime factorization of 8837
8837 = 8837
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78039547 = 8831 x 8837
Step 4: Therefore, the least common multiple of 8831 and 8837 is 78039547.