Least Common Multiple of 4954 and 4961
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4954 and 4961 the smallest integer that is 24576794 that is divisible by both numbers.
Least Common Multiple (LCM) of 4954 and 4961 is 24576794.
LCM(4954,4961) = 24576794
LCM of 4954 and 4961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4954 and 4961 by Prime method
- Least Common Multiple of 4954 and 4961 with GCF Formula
LCM of 4954 and 4961 is 24576794
Least common multiple can be found by multiplying the highest exponent prime factors of 4954 and 4961. First we will calculate the prime factors of 4954 and 4961.
Prime Factorization of 4954
| 2 | 4954 |
| 2477 | 2477 |
| 1 |
Prime factors of 4954 are 2,2477. Prime factorization of 4954 in exponential form is:
4954 = 21×24771
Prime Factorization of 4961
| 11 | 4961 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 4961 are 11,41. Prime factorization of 4961 in exponential form is:
4961 = 112×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4954 and 4961.
LCM(4954,4961) = 21×112×411×24771
LCM(4954,4961) = 24576794
Factors of 4954
List of positive integer factors of 4954 that divides 4954 without a remainder.
1, 2, 2477, 4954
Factors of 4961
List of positive integer factors of 4961 that divides 4961 without a remainder.
1, 11, 41, 121, 451, 4961
Least Common Multiple of 4954 and 4961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4954 and 4961, than apply into the LCM equation.
GCF(4954,4961) = 1
LCM(4954,4961) = ( 4954 × 4961) / 1
LCM(4954,4961) = 24576794 / 1
LCM(4954,4961) = 24576794
Properties of LCM 4954 and 4961
(i) The LCM of 4961 and 4954 is associative
LCM of 4954 and 4961 = LCM of 4961 and 4954
Related Least Common Multiples of 4954
Related Least Common Multiples of 4961
Frequently Asked Questions on LCM of 4954 and 4961
1. What is the LCM of 4954 and 4961?
Answer: LCM of 4954 and 4961 is 24576794.
2. What are the Factors of 4954?
Answer: Factors of 4954 are 1, 2, 2477, 4954. There are 4 integers that are factors of 4954. The greatest factor of 4954 is 4954.
3. What are the Factors of 4961?
Answer: Factors of 4961 are 1, 11, 41, 121, 451, 4961. There are 6 integers that are factors of 4961. The greatest factor of 4961 is 4961.
4. How to Find the LCM of 4954 and 4961?
Answer:
Least Common Multiple of 4954 and 4961 = 24576794
Step 1: Find the prime factorization of 4954
4954 = 2 x 2477
Step 2: Find the prime factorization of 4961
4961 = 11 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24576794 = 2 x 11 x 11 x 41 x 2477
Step 4: Therefore, the least common multiple of 4954 and 4961 is 24576794.