Least Common Multiple of 4953 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 4953 and 4961 the smallest integer that is 24571833 that is divisible by both numbers.
Least Common Multiple (LCM) of 4953 and 4961 is 24571833.
LCM(4953,4961) = 24571833
LCM of 4953 and 4961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4953 and 4961 by Prime method
- Least Common Multiple of 4953 and 4961 with GCF Formula
LCM of 4953 and 4961 is 24571833
Least common multiple can be found by multiplying the highest exponent prime factors of 4953 and 4961. First we will calculate the prime factors of 4953 and 4961.
Prime Factorization of 4953
| 3 | 4953 |
| 13 | 1651 |
| 127 | 127 |
| 1 |
Prime factors of 4953 are 3, 13,127. Prime factorization of 4953 in exponential form is:
4953 = 31×131×1271
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 4953 and 4961.
LCM(4953,4961) = 31×112×131×411×1271
LCM(4953,4961) = 24571833
Factors of 4953
List of positive integer factors of 4953 that divides 4953 without a remainder.
1, 3, 13, 39, 127, 381, 1651, 4953
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 4953 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 4953 and 4961, than apply into the LCM equation.
GCF(4953,4961) = 1
LCM(4953,4961) = ( 4953 × 4961) / 1
LCM(4953,4961) = 24571833 / 1
LCM(4953,4961) = 24571833
Properties of LCM 4953 and 4961
(i) The LCM of 4961 and 4953 is associative
LCM of 4953 and 4961 = LCM of 4961 and 4953
Related Least Common Multiples of 4953
Related Least Common Multiples of 4961
Frequently Asked Questions on LCM of 4953 and 4961
1. What is the LCM of 4953 and 4961?
Answer: LCM of 4953 and 4961 is 24571833.
2. What are the Factors of 4953?
Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.
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 4953 and 4961?
Answer:
Least Common Multiple of 4953 and 4961 = 24571833
Step 1: Find the prime factorization of 4953
4953 = 3 x 13 x 127
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 = 24571833 = 3 x 11 x 11 x 13 x 41 x 127
Step 4: Therefore, the least common multiple of 4953 and 4961 is 24571833.