Least Common Multiple of 4897 and 4901
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4897 and 4901 the smallest integer that is 24000197 that is divisible by both numbers.
Least Common Multiple (LCM) of 4897 and 4901 is 24000197.
LCM(4897,4901) = 24000197
LCM of 4897 and 4901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4897 and 4901 by Prime method
- Least Common Multiple of 4897 and 4901 with GCF Formula
LCM of 4897 and 4901 is 24000197
Least common multiple can be found by multiplying the highest exponent prime factors of 4897 and 4901. First we will calculate the prime factors of 4897 and 4901.
Prime Factorization of 4897
| 59 | 4897 |
| 83 | 83 |
| 1 |
Prime factors of 4897 are 59,83. Prime factorization of 4897 in exponential form is:
4897 = 591×831
Prime Factorization of 4901
| 13 | 4901 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 4901 are 13,29. Prime factorization of 4901 in exponential form is:
4901 = 132×291
Now multiplying the highest exponent prime factors to calculate the LCM of 4897 and 4901.
LCM(4897,4901) = 132×291×591×831
LCM(4897,4901) = 24000197
Factors of 4897
List of positive integer factors of 4897 that divides 4897 without a remainder.
1, 59, 83, 4897
Factors of 4901
List of positive integer factors of 4901 that divides 4901 without a remainder.
1, 13, 29, 169, 377, 4901
Least Common Multiple of 4897 and 4901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4897 and 4901, than apply into the LCM equation.
GCF(4897,4901) = 1
LCM(4897,4901) = ( 4897 × 4901) / 1
LCM(4897,4901) = 24000197 / 1
LCM(4897,4901) = 24000197
Properties of LCM 4897 and 4901
(i) The LCM of 4901 and 4897 is associative
LCM of 4897 and 4901 = LCM of 4901 and 4897
Related Least Common Multiples of 4897
Related Least Common Multiples of 4901
Frequently Asked Questions on LCM of 4897 and 4901
1. What is the LCM of 4897 and 4901?
Answer: LCM of 4897 and 4901 is 24000197.
2. What are the Factors of 4897?
Answer: Factors of 4897 are 1, 59, 83, 4897. There are 4 integers that are factors of 4897. The greatest factor of 4897 is 4897.
3. What are the Factors of 4901?
Answer: Factors of 4901 are 1, 13, 29, 169, 377, 4901. There are 6 integers that are factors of 4901. The greatest factor of 4901 is 4901.
4. How to Find the LCM of 4897 and 4901?
Answer:
Least Common Multiple of 4897 and 4901 = 24000197
Step 1: Find the prime factorization of 4897
4897 = 59 x 83
Step 2: Find the prime factorization of 4901
4901 = 13 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24000197 = 13 x 13 x 29 x 59 x 83
Step 4: Therefore, the least common multiple of 4897 and 4901 is 24000197.