Least Common Multiple of 4859 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 4859 and 4865 the smallest integer that is 23639035 that is divisible by both numbers.
Least Common Multiple (LCM) of 4859 and 4865 is 23639035.
LCM(4859,4865) = 23639035
LCM of 4859 and 4865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4859 and 4865 by Prime method
- Least Common Multiple of 4859 and 4865 with GCF Formula
LCM of 4859 and 4865 is 23639035
Least common multiple can be found by multiplying the highest exponent prime factors of 4859 and 4865. First we will calculate the prime factors of 4859 and 4865.
Prime Factorization of 4859
| 43 | 4859 |
| 113 | 113 |
| 1 |
Prime factors of 4859 are 43,113. Prime factorization of 4859 in exponential form is:
4859 = 431×1131
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 4859 and 4865.
LCM(4859,4865) = 51×71×431×1131×1391
LCM(4859,4865) = 23639035
Factors of 4859
List of positive integer factors of 4859 that divides 4859 without a remainder.
1, 43, 113, 4859
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 4859 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 4859 and 4865, than apply into the LCM equation.
GCF(4859,4865) = 1
LCM(4859,4865) = ( 4859 × 4865) / 1
LCM(4859,4865) = 23639035 / 1
LCM(4859,4865) = 23639035
Properties of LCM 4859 and 4865
(i) The LCM of 4865 and 4859 is associative
LCM of 4859 and 4865 = LCM of 4865 and 4859
Related Least Common Multiples of 4859
Related Least Common Multiples of 4865
Frequently Asked Questions on LCM of 4859 and 4865
1. What is the LCM of 4859 and 4865?
Answer: LCM of 4859 and 4865 is 23639035.
2. What are the Factors of 4859?
Answer: Factors of 4859 are 1, 43, 113, 4859. There are 4 integers that are factors of 4859. The greatest factor of 4859 is 4859.
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 4859 and 4865?
Answer:
Least Common Multiple of 4859 and 4865 = 23639035
Step 1: Find the prime factorization of 4859
4859 = 43 x 113
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 = 23639035 = 5 x 7 x 43 x 113 x 139
Step 4: Therefore, the least common multiple of 4859 and 4865 is 23639035.