Least Common Multiple of 4869 and 4873
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4869 and 4873 the smallest integer that is 23726637 that is divisible by both numbers.
Least Common Multiple (LCM) of 4869 and 4873 is 23726637.
LCM(4869,4873) = 23726637
LCM of 4869 and 4873
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4869 and 4873 by Prime method
- Least Common Multiple of 4869 and 4873 with GCF Formula
LCM of 4869 and 4873 is 23726637
Least common multiple can be found by multiplying the highest exponent prime factors of 4869 and 4873. First we will calculate the prime factors of 4869 and 4873.
Prime Factorization of 4869
| 3 | 4869 |
| 3 | 1623 |
| 541 | 541 |
| 1 |
Prime factors of 4869 are 3,541. Prime factorization of 4869 in exponential form is:
4869 = 32×5411
Prime Factorization of 4873
| 11 | 4873 |
| 443 | 443 |
| 1 |
Prime factors of 4873 are 11,443. Prime factorization of 4873 in exponential form is:
4873 = 111×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 4869 and 4873.
LCM(4869,4873) = 32×111×4431×5411
LCM(4869,4873) = 23726637
Factors of 4869
List of positive integer factors of 4869 that divides 4869 without a remainder.
1, 3, 9, 541, 1623, 4869
Factors of 4873
List of positive integer factors of 4873 that divides 4873 without a remainder.
1, 11, 443, 4873
Least Common Multiple of 4869 and 4873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4869 and 4873, than apply into the LCM equation.
GCF(4869,4873) = 1
LCM(4869,4873) = ( 4869 × 4873) / 1
LCM(4869,4873) = 23726637 / 1
LCM(4869,4873) = 23726637
Properties of LCM 4869 and 4873
(i) The LCM of 4873 and 4869 is associative
LCM of 4869 and 4873 = LCM of 4873 and 4869
Related Least Common Multiples of 4869
Related Least Common Multiples of 4873
Frequently Asked Questions on LCM of 4869 and 4873
1. What is the LCM of 4869 and 4873?
Answer: LCM of 4869 and 4873 is 23726637.
2. What are the Factors of 4869?
Answer: Factors of 4869 are 1, 3, 9, 541, 1623, 4869. There are 6 integers that are factors of 4869. The greatest factor of 4869 is 4869.
3. What are the Factors of 4873?
Answer: Factors of 4873 are 1, 11, 443, 4873. There are 4 integers that are factors of 4873. The greatest factor of 4873 is 4873.
4. How to Find the LCM of 4869 and 4873?
Answer:
Least Common Multiple of 4869 and 4873 = 23726637
Step 1: Find the prime factorization of 4869
4869 = 3 x 3 x 541
Step 2: Find the prime factorization of 4873
4873 = 11 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23726637 = 3 x 3 x 11 x 443 x 541
Step 4: Therefore, the least common multiple of 4869 and 4873 is 23726637.
