Least Common Multiple of 7139 and 7147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7139 and 7147 the smallest integer that is 51022433 that is divisible by both numbers.
Least Common Multiple (LCM) of 7139 and 7147 is 51022433.
LCM(7139,7147) = 51022433
LCM of 7139 and 7147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7139 and 7147 by Prime method
- Least Common Multiple of 7139 and 7147 with GCF Formula
LCM of 7139 and 7147 is 51022433
Least common multiple can be found by multiplying the highest exponent prime factors of 7139 and 7147. First we will calculate the prime factors of 7139 and 7147.
Prime Factorization of 7139
| 11 | 7139 |
| 11 | 649 |
| 59 | 59 |
| 1 |
Prime factors of 7139 are 11,59. Prime factorization of 7139 in exponential form is:
7139 = 112×591
Prime Factorization of 7147
| 7 | 7147 |
| 1021 | 1021 |
| 1 |
Prime factors of 7147 are 7,1021. Prime factorization of 7147 in exponential form is:
7147 = 71×10211
Now multiplying the highest exponent prime factors to calculate the LCM of 7139 and 7147.
LCM(7139,7147) = 71×112×591×10211
LCM(7139,7147) = 51022433
Factors of 7139
List of positive integer factors of 7139 that divides 7139 without a remainder.
1, 11, 59, 121, 649, 7139
Factors of 7147
List of positive integer factors of 7147 that divides 7147 without a remainder.
1, 7, 1021, 7147
Least Common Multiple of 7139 and 7147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7139 and 7147, than apply into the LCM equation.
GCF(7139,7147) = 1
LCM(7139,7147) = ( 7139 × 7147) / 1
LCM(7139,7147) = 51022433 / 1
LCM(7139,7147) = 51022433
Properties of LCM 7139 and 7147
(i) The LCM of 7147 and 7139 is associative
LCM of 7139 and 7147 = LCM of 7147 and 7139
Related Least Common Multiples of 7139
Related Least Common Multiples of 7147
Frequently Asked Questions on LCM of 7139 and 7147
1. What is the LCM of 7139 and 7147?
Answer: LCM of 7139 and 7147 is 51022433.
2. What are the Factors of 7139?
Answer: Factors of 7139 are 1, 11, 59, 121, 649, 7139. There are 6 integers that are factors of 7139. The greatest factor of 7139 is 7139.
3. What are the Factors of 7147?
Answer: Factors of 7147 are 1, 7, 1021, 7147. There are 4 integers that are factors of 7147. The greatest factor of 7147 is 7147.
4. How to Find the LCM of 7139 and 7147?
Answer:
Least Common Multiple of 7139 and 7147 = 51022433
Step 1: Find the prime factorization of 7139
7139 = 11 x 11 x 59
Step 2: Find the prime factorization of 7147
7147 = 7 x 1021
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51022433 = 7 x 11 x 11 x 59 x 1021
Step 4: Therefore, the least common multiple of 7139 and 7147 is 51022433.