Least Common Multiple of 9139 and 9147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9139 and 9147 the smallest integer that is 83594433 that is divisible by both numbers.
Least Common Multiple (LCM) of 9139 and 9147 is 83594433.
LCM(9139,9147) = 83594433
LCM of 9139 and 9147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9139 and 9147 by Prime method
- Least Common Multiple of 9139 and 9147 with GCF Formula
LCM of 9139 and 9147 is 83594433
Least common multiple can be found by multiplying the highest exponent prime factors of 9139 and 9147. First we will calculate the prime factors of 9139 and 9147.
Prime Factorization of 9139
| 13 | 9139 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 9139 are 13, 19,37. Prime factorization of 9139 in exponential form is:
9139 = 131×191×371
Prime Factorization of 9147
| 3 | 9147 |
| 3049 | 3049 |
| 1 |
Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:
9147 = 31×30491
Now multiplying the highest exponent prime factors to calculate the LCM of 9139 and 9147.
LCM(9139,9147) = 31×131×191×371×30491
LCM(9139,9147) = 83594433
Factors of 9139
List of positive integer factors of 9139 that divides 9139 without a remainder.
1, 13, 19, 37, 247, 481, 703, 9139
Factors of 9147
List of positive integer factors of 9147 that divides 9147 without a remainder.
1, 3, 3049, 9147
Least Common Multiple of 9139 and 9147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9139 and 9147, than apply into the LCM equation.
GCF(9139,9147) = 1
LCM(9139,9147) = ( 9139 × 9147) / 1
LCM(9139,9147) = 83594433 / 1
LCM(9139,9147) = 83594433
Properties of LCM 9139 and 9147
(i) The LCM of 9147 and 9139 is associative
LCM of 9139 and 9147 = LCM of 9147 and 9139
Related Least Common Multiples of 9139
Related Least Common Multiples of 9147
Frequently Asked Questions on LCM of 9139 and 9147
1. What is the LCM of 9139 and 9147?
Answer: LCM of 9139 and 9147 is 83594433.
2. What are the Factors of 9139?
Answer: Factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139. There are 8 integers that are factors of 9139. The greatest factor of 9139 is 9139.
3. What are the Factors of 9147?
Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.
4. How to Find the LCM of 9139 and 9147?
Answer:
Least Common Multiple of 9139 and 9147 = 83594433
Step 1: Find the prime factorization of 9139
9139 = 13 x 19 x 37
Step 2: Find the prime factorization of 9147
9147 = 3 x 3049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83594433 = 3 x 13 x 19 x 37 x 3049
Step 4: Therefore, the least common multiple of 9139 and 9147 is 83594433.