Least Common Multiple of 2859 and 2867
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2859 and 2867 the smallest integer that is 8196753 that is divisible by both numbers.
Least Common Multiple (LCM) of 2859 and 2867 is 8196753.
LCM(2859,2867) = 8196753
LCM of 2859 and 2867
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2859 and 2867 by Prime method
- Least Common Multiple of 2859 and 2867 with GCF Formula
LCM of 2859 and 2867 is 8196753
Least common multiple can be found by multiplying the highest exponent prime factors of 2859 and 2867. First we will calculate the prime factors of 2859 and 2867.
Prime Factorization of 2859
| 3 | 2859 |
| 953 | 953 |
| 1 |
Prime factors of 2859 are 3,953. Prime factorization of 2859 in exponential form is:
2859 = 31×9531
Prime Factorization of 2867
| 47 | 2867 |
| 61 | 61 |
| 1 |
Prime factors of 2867 are 47,61. Prime factorization of 2867 in exponential form is:
2867 = 471×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2859 and 2867.
LCM(2859,2867) = 31×471×611×9531
LCM(2859,2867) = 8196753
Factors of 2859
List of positive integer factors of 2859 that divides 2859 without a remainder.
1, 3, 953, 2859
Factors of 2867
List of positive integer factors of 2867 that divides 2867 without a remainder.
1, 47, 61, 2867
Least Common Multiple of 2859 and 2867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2859 and 2867, than apply into the LCM equation.
GCF(2859,2867) = 1
LCM(2859,2867) = ( 2859 × 2867) / 1
LCM(2859,2867) = 8196753 / 1
LCM(2859,2867) = 8196753
Properties of LCM 2859 and 2867
(i) The LCM of 2867 and 2859 is associative
LCM of 2859 and 2867 = LCM of 2867 and 2859
Related Least Common Multiples of 2859
Related Least Common Multiples of 2867
Frequently Asked Questions on LCM of 2859 and 2867
1. What is the LCM of 2859 and 2867?
Answer: LCM of 2859 and 2867 is 8196753.
2. What are the Factors of 2859?
Answer: Factors of 2859 are 1, 3, 953, 2859. There are 4 integers that are factors of 2859. The greatest factor of 2859 is 2859.
3. What are the Factors of 2867?
Answer: Factors of 2867 are 1, 47, 61, 2867. There are 4 integers that are factors of 2867. The greatest factor of 2867 is 2867.
4. How to Find the LCM of 2859 and 2867?
Answer:
Least Common Multiple of 2859 and 2867 = 8196753
Step 1: Find the prime factorization of 2859
2859 = 3 x 953
Step 2: Find the prime factorization of 2867
2867 = 47 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8196753 = 3 x 47 x 61 x 953
Step 4: Therefore, the least common multiple of 2859 and 2867 is 8196753.