Least Common Multiple of 5054 and 5061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5054 and 5061 the smallest integer that is 3654042 that is divisible by both numbers.
Least Common Multiple (LCM) of 5054 and 5061 is 3654042.
LCM(5054,5061) = 3654042
LCM of 5054 and 5061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5054 and 5061 by Prime method
- Least Common Multiple of 5054 and 5061 with GCF Formula
LCM of 5054 and 5061 is 3654042
Least common multiple can be found by multiplying the highest exponent prime factors of 5054 and 5061. First we will calculate the prime factors of 5054 and 5061.
Prime Factorization of 5054
| 2 | 5054 |
| 7 | 2527 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 5054 are 2, 7,19. Prime factorization of 5054 in exponential form is:
5054 = 21×71×192
Prime Factorization of 5061
| 3 | 5061 |
| 7 | 1687 |
| 241 | 241 |
| 1 |
Prime factors of 5061 are 3, 7,241. Prime factorization of 5061 in exponential form is:
5061 = 31×71×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 5054 and 5061.
LCM(5054,5061) = 21×31×71×192×2411
LCM(5054,5061) = 3654042
Factors of 5054
List of positive integer factors of 5054 that divides 5054 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054
Factors of 5061
List of positive integer factors of 5061 that divides 5061 without a remainder.
1, 3, 7, 21, 241, 723, 1687, 5061
Least Common Multiple of 5054 and 5061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5054 and 5061, than apply into the LCM equation.
GCF(5054,5061) = 7
LCM(5054,5061) = ( 5054 × 5061) / 7
LCM(5054,5061) = 25578294 / 7
LCM(5054,5061) = 3654042
Properties of LCM 5054 and 5061
(i) The LCM of 5061 and 5054 is associative
LCM of 5054 and 5061 = LCM of 5061 and 5054
Related Least Common Multiples of 5054
Related Least Common Multiples of 5061
Frequently Asked Questions on LCM of 5054 and 5061
1. What is the LCM of 5054 and 5061?
Answer: LCM of 5054 and 5061 is 3654042.
2. What are the Factors of 5054?
Answer: Factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054. There are 12 integers that are factors of 5054. The greatest factor of 5054 is 5054.
3. What are the Factors of 5061?
Answer: Factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061. There are 8 integers that are factors of 5061. The greatest factor of 5061 is 5061.
4. How to Find the LCM of 5054 and 5061?
Answer:
Least Common Multiple of 5054 and 5061 = 3654042
Step 1: Find the prime factorization of 5054
5054 = 2 x 7 x 19 x 19
Step 2: Find the prime factorization of 5061
5061 = 3 x 7 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3654042 = 2 x 3 x 7 x 19 x 19 x 241
Step 4: Therefore, the least common multiple of 5054 and 5061 is 3654042.