Least Common Multiple of 4807 and 4814
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4807 and 4814 the smallest integer that is 23140898 that is divisible by both numbers.
Least Common Multiple (LCM) of 4807 and 4814 is 23140898.
LCM(4807,4814) = 23140898
LCM of 4807 and 4814
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4807 and 4814 by Prime method
- Least Common Multiple of 4807 and 4814 with GCF Formula
LCM of 4807 and 4814 is 23140898
Least common multiple can be found by multiplying the highest exponent prime factors of 4807 and 4814. First we will calculate the prime factors of 4807 and 4814.
Prime Factorization of 4807
| 11 | 4807 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 4807 are 11, 19,23. Prime factorization of 4807 in exponential form is:
4807 = 111×191×231
Prime Factorization of 4814
| 2 | 4814 |
| 29 | 2407 |
| 83 | 83 |
| 1 |
Prime factors of 4814 are 2, 29,83. Prime factorization of 4814 in exponential form is:
4814 = 21×291×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4807 and 4814.
LCM(4807,4814) = 21×111×191×231×291×831
LCM(4807,4814) = 23140898
Factors of 4807
List of positive integer factors of 4807 that divides 4807 without a remainder.
1, 11, 19, 23, 209, 253, 437, 4807
Factors of 4814
List of positive integer factors of 4814 that divides 4814 without a remainder.
1, 2, 29, 58, 83, 166, 2407, 4814
Least Common Multiple of 4807 and 4814 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4807 and 4814, than apply into the LCM equation.
GCF(4807,4814) = 1
LCM(4807,4814) = ( 4807 × 4814) / 1
LCM(4807,4814) = 23140898 / 1
LCM(4807,4814) = 23140898
Properties of LCM 4807 and 4814
(i) The LCM of 4814 and 4807 is associative
LCM of 4807 and 4814 = LCM of 4814 and 4807
Related Least Common Multiples of 4807
Related Least Common Multiples of 4814
Frequently Asked Questions on LCM of 4807 and 4814
1. What is the LCM of 4807 and 4814?
Answer: LCM of 4807 and 4814 is 23140898.
2. What are the Factors of 4807?
Answer: Factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807. There are 8 integers that are factors of 4807. The greatest factor of 4807 is 4807.
3. What are the Factors of 4814?
Answer: Factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814. There are 8 integers that are factors of 4814. The greatest factor of 4814 is 4814.
4. How to Find the LCM of 4807 and 4814?
Answer:
Least Common Multiple of 4807 and 4814 = 23140898
Step 1: Find the prime factorization of 4807
4807 = 11 x 19 x 23
Step 2: Find the prime factorization of 4814
4814 = 2 x 29 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 = 23140898 = 2 x 11 x 19 x 23 x 29 x 83
Step 4: Therefore, the least common multiple of 4807 and 4814 is 23140898.