Least Common Multiple of 4859 and 4867
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 4867 the smallest integer that is 23648753 that is divisible by both numbers.
Least Common Multiple (LCM) of 4859 and 4867 is 23648753.
LCM(4859,4867) = 23648753
LCM of 4859 and 4867
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4859 and 4867 by Prime method
- Least Common Multiple of 4859 and 4867 with GCF Formula
LCM of 4859 and 4867 is 23648753
Least common multiple can be found by multiplying the highest exponent prime factors of 4859 and 4867. First we will calculate the prime factors of 4859 and 4867.
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 4867
| 31 | 4867 |
| 157 | 157 |
| 1 |
Prime factors of 4867 are 31,157. Prime factorization of 4867 in exponential form is:
4867 = 311×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 4859 and 4867.
LCM(4859,4867) = 311×431×1131×1571
LCM(4859,4867) = 23648753
Factors of 4859
List of positive integer factors of 4859 that divides 4859 without a remainder.
1, 43, 113, 4859
Factors of 4867
List of positive integer factors of 4867 that divides 4867 without a remainder.
1, 31, 157, 4867
Least Common Multiple of 4859 and 4867 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 4867, than apply into the LCM equation.
GCF(4859,4867) = 1
LCM(4859,4867) = ( 4859 × 4867) / 1
LCM(4859,4867) = 23648753 / 1
LCM(4859,4867) = 23648753
Properties of LCM 4859 and 4867
(i) The LCM of 4867 and 4859 is associative
LCM of 4859 and 4867 = LCM of 4867 and 4859
Related Least Common Multiples of 4859
Related Least Common Multiples of 4867
Frequently Asked Questions on LCM of 4859 and 4867
1. What is the LCM of 4859 and 4867?
Answer: LCM of 4859 and 4867 is 23648753.
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 4867?
Answer: Factors of 4867 are 1, 31, 157, 4867. There are 4 integers that are factors of 4867. The greatest factor of 4867 is 4867.
4. How to Find the LCM of 4859 and 4867?
Answer:
Least Common Multiple of 4859 and 4867 = 23648753
Step 1: Find the prime factorization of 4859
4859 = 43 x 113
Step 2: Find the prime factorization of 4867
4867 = 31 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23648753 = 31 x 43 x 113 x 157
Step 4: Therefore, the least common multiple of 4859 and 4867 is 23648753.