Least Common Multiple of 5141 and 5149
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5141 and 5149 the smallest integer that is 26471009 that is divisible by both numbers.
Least Common Multiple (LCM) of 5141 and 5149 is 26471009.
LCM(5141,5149) = 26471009
LCM of 5141 and 5149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5141 and 5149 by Prime method
- Least Common Multiple of 5141 and 5149 with GCF Formula
LCM of 5141 and 5149 is 26471009
Least common multiple can be found by multiplying the highest exponent prime factors of 5141 and 5149. First we will calculate the prime factors of 5141 and 5149.
Prime Factorization of 5141
| 53 | 5141 |
| 97 | 97 |
| 1 |
Prime factors of 5141 are 53,97. Prime factorization of 5141 in exponential form is:
5141 = 531×971
Prime Factorization of 5149
| 19 | 5149 |
| 271 | 271 |
| 1 |
Prime factors of 5149 are 19,271. Prime factorization of 5149 in exponential form is:
5149 = 191×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 5141 and 5149.
LCM(5141,5149) = 191×531×971×2711
LCM(5141,5149) = 26471009
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1, 53, 97, 5141
Factors of 5149
List of positive integer factors of 5149 that divides 5149 without a remainder.
1, 19, 271, 5149
Least Common Multiple of 5141 and 5149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5141 and 5149, than apply into the LCM equation.
GCF(5141,5149) = 1
LCM(5141,5149) = ( 5141 × 5149) / 1
LCM(5141,5149) = 26471009 / 1
LCM(5141,5149) = 26471009
Properties of LCM 5141 and 5149
(i) The LCM of 5149 and 5141 is associative
LCM of 5141 and 5149 = LCM of 5149 and 5141
Related Least Common Multiples of 5141
Related Least Common Multiples of 5149
Frequently Asked Questions on LCM of 5141 and 5149
1. What is the LCM of 5141 and 5149?
Answer: LCM of 5141 and 5149 is 26471009.
2. What are the Factors of 5141?
Answer: Factors of 5141 are 1, 53, 97, 5141. There are 4 integers that are factors of 5141. The greatest factor of 5141 is 5141.
3. What are the Factors of 5149?
Answer: Factors of 5149 are 1, 19, 271, 5149. There are 4 integers that are factors of 5149. The greatest factor of 5149 is 5149.
4. How to Find the LCM of 5141 and 5149?
Answer:
Least Common Multiple of 5141 and 5149 = 26471009
Step 1: Find the prime factorization of 5141
5141 = 53 x 97
Step 2: Find the prime factorization of 5149
5149 = 19 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26471009 = 19 x 53 x 97 x 271
Step 4: Therefore, the least common multiple of 5141 and 5149 is 26471009.