Least Common Multiple of 4893 and 4897
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4893 and 4897 the smallest integer that is 23961021 that is divisible by both numbers.
Least Common Multiple (LCM) of 4893 and 4897 is 23961021.
LCM(4893,4897) = 23961021
LCM of 4893 and 4897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4893 and 4897 by Prime method
- Least Common Multiple of 4893 and 4897 with GCF Formula
LCM of 4893 and 4897 is 23961021
Least common multiple can be found by multiplying the highest exponent prime factors of 4893 and 4897. First we will calculate the prime factors of 4893 and 4897.
Prime Factorization of 4893
| 3 | 4893 |
| 7 | 1631 |
| 233 | 233 |
| 1 |
Prime factors of 4893 are 3, 7,233. Prime factorization of 4893 in exponential form is:
4893 = 31×71×2331
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4893 and 4897.
LCM(4893,4897) = 31×71×591×831×2331
LCM(4893,4897) = 23961021
Factors of 4893
List of positive integer factors of 4893 that divides 4893 without a remainder.
1, 3, 7, 21, 233, 699, 1631, 4893
Factors of 4897
List of positive integer factors of 4897 that divides 4897 without a remainder.
1, 59, 83, 4897
Least Common Multiple of 4893 and 4897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4893 and 4897, than apply into the LCM equation.
GCF(4893,4897) = 1
LCM(4893,4897) = ( 4893 × 4897) / 1
LCM(4893,4897) = 23961021 / 1
LCM(4893,4897) = 23961021
Properties of LCM 4893 and 4897
(i) The LCM of 4897 and 4893 is associative
LCM of 4893 and 4897 = LCM of 4897 and 4893
Related Least Common Multiples of 4893
Related Least Common Multiples of 4897
Frequently Asked Questions on LCM of 4893 and 4897
1. What is the LCM of 4893 and 4897?
Answer: LCM of 4893 and 4897 is 23961021.
2. What are the Factors of 4893?
Answer: Factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893. There are 8 integers that are factors of 4893. The greatest factor of 4893 is 4893.
3. 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.
4. How to Find the LCM of 4893 and 4897?
Answer:
Least Common Multiple of 4893 and 4897 = 23961021
Step 1: Find the prime factorization of 4893
4893 = 3 x 7 x 233
Step 2: Find the prime factorization of 4897
4897 = 59 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23961021 = 3 x 7 x 59 x 83 x 233
Step 4: Therefore, the least common multiple of 4893 and 4897 is 23961021.