Least Common Multiple of 4857 and 4865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4857 and 4865 the smallest integer that is 23629305 that is divisible by both numbers.
Least Common Multiple (LCM) of 4857 and 4865 is 23629305.
LCM(4857,4865) = 23629305
LCM of 4857 and 4865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4857 and 4865 by Prime method
- Least Common Multiple of 4857 and 4865 with GCF Formula
LCM of 4857 and 4865 is 23629305
Least common multiple can be found by multiplying the highest exponent prime factors of 4857 and 4865. First we will calculate the prime factors of 4857 and 4865.
Prime Factorization of 4857
| 3 | 4857 |
| 1619 | 1619 |
| 1 |
Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:
4857 = 31×16191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4857 and 4865.
LCM(4857,4865) = 31×51×71×1391×16191
LCM(4857,4865) = 23629305
Factors of 4857
List of positive integer factors of 4857 that divides 4857 without a remainder.
1, 3, 1619, 4857
Factors of 4865
List of positive integer factors of 4865 that divides 4865 without a remainder.
1, 5, 7, 35, 139, 695, 973, 4865
Least Common Multiple of 4857 and 4865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4857 and 4865, than apply into the LCM equation.
GCF(4857,4865) = 1
LCM(4857,4865) = ( 4857 × 4865) / 1
LCM(4857,4865) = 23629305 / 1
LCM(4857,4865) = 23629305
Properties of LCM 4857 and 4865
(i) The LCM of 4865 and 4857 is associative
LCM of 4857 and 4865 = LCM of 4865 and 4857
Related Least Common Multiples of 4857
Related Least Common Multiples of 4865
Frequently Asked Questions on LCM of 4857 and 4865
1. What is the LCM of 4857 and 4865?
Answer: LCM of 4857 and 4865 is 23629305.
2. What are the Factors of 4857?
Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.
3. 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.
4. How to Find the LCM of 4857 and 4865?
Answer:
Least Common Multiple of 4857 and 4865 = 23629305
Step 1: Find the prime factorization of 4857
4857 = 3 x 1619
Step 2: Find the prime factorization of 4865
4865 = 5 x 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23629305 = 3 x 5 x 7 x 139 x 1619
Step 4: Therefore, the least common multiple of 4857 and 4865 is 23629305.