Least Common Multiple of 4865 and 4869
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4865 and 4869 the smallest integer that is 23687685 that is divisible by both numbers.
Least Common Multiple (LCM) of 4865 and 4869 is 23687685.
LCM(4865,4869) = 23687685
LCM of 4865 and 4869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4865 and 4869 by Prime method
- Least Common Multiple of 4865 and 4869 with GCF Formula
LCM of 4865 and 4869 is 23687685
Least common multiple can be found by multiplying the highest exponent prime factors of 4865 and 4869. First we will calculate the prime factors of 4865 and 4869.
Prime Factorization of 4865
| 5 | 4865 |
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 4865 are 5, 7,139. Prime factorization of 4865 in exponential form is:
4865 = 51×71×1391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4865 and 4869.
LCM(4865,4869) = 32×51×71×1391×5411
LCM(4865,4869) = 23687685
Factors of 4865
List of positive integer factors of 4865 that divides 4865 without a remainder.
1, 5, 7, 35, 139, 695, 973, 4865
Factors of 4869
List of positive integer factors of 4869 that divides 4869 without a remainder.
1, 3, 9, 541, 1623, 4869
Least Common Multiple of 4865 and 4869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4865 and 4869, than apply into the LCM equation.
GCF(4865,4869) = 1
LCM(4865,4869) = ( 4865 × 4869) / 1
LCM(4865,4869) = 23687685 / 1
LCM(4865,4869) = 23687685
Properties of LCM 4865 and 4869
(i) The LCM of 4869 and 4865 is associative
LCM of 4865 and 4869 = LCM of 4869 and 4865
Related Least Common Multiples of 4865
Related Least Common Multiples of 4869
Frequently Asked Questions on LCM of 4865 and 4869
1. What is the LCM of 4865 and 4869?
Answer: LCM of 4865 and 4869 is 23687685.
2. What are the Factors of 4865?
Answer: Factors of 4865 are 1, 5, 7, 35, 139, 695, 973, 4865. There are 8 integers that are factors of 4865. The greatest factor of 4865 is 4865.
3. 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.
4. How to Find the LCM of 4865 and 4869?
Answer:
Least Common Multiple of 4865 and 4869 = 23687685
Step 1: Find the prime factorization of 4865
4865 = 5 x 7 x 139
Step 2: Find the prime factorization of 4869
4869 = 3 x 3 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23687685 = 3 x 3 x 5 x 7 x 139 x 541
Step 4: Therefore, the least common multiple of 4865 and 4869 is 23687685.