Least Common Multiple of 1887 and 1891
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1887 and 1891 the smallest integer that is 3568317 that is divisible by both numbers.
Least Common Multiple (LCM) of 1887 and 1891 is 3568317.
LCM(1887,1891) = 3568317
LCM of 1887 and 1891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1887 and 1891 by Prime method
- Least Common Multiple of 1887 and 1891 with GCF Formula
LCM of 1887 and 1891 is 3568317
Least common multiple can be found by multiplying the highest exponent prime factors of 1887 and 1891. First we will calculate the prime factors of 1887 and 1891.
Prime Factorization of 1887
| 3 | 1887 |
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 1887 are 3, 17,37. Prime factorization of 1887 in exponential form is:
1887 = 31×171×371
Prime Factorization of 1891
| 31 | 1891 |
| 61 | 61 |
| 1 |
Prime factors of 1891 are 31,61. Prime factorization of 1891 in exponential form is:
1891 = 311×611
Now multiplying the highest exponent prime factors to calculate the LCM of 1887 and 1891.
LCM(1887,1891) = 31×171×311×371×611
LCM(1887,1891) = 3568317
Factors of 1887
List of positive integer factors of 1887 that divides 1887 without a remainder.
1, 3, 17, 37, 51, 111, 629, 1887
Factors of 1891
List of positive integer factors of 1891 that divides 1891 without a remainder.
1, 31, 61, 1891
Least Common Multiple of 1887 and 1891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1887 and 1891, than apply into the LCM equation.
GCF(1887,1891) = 1
LCM(1887,1891) = ( 1887 × 1891) / 1
LCM(1887,1891) = 3568317 / 1
LCM(1887,1891) = 3568317
Properties of LCM 1887 and 1891
(i) The LCM of 1891 and 1887 is associative
LCM of 1887 and 1891 = LCM of 1891 and 1887
Related Least Common Multiples of 1887
Related Least Common Multiples of 1891
Frequently Asked Questions on LCM of 1887 and 1891
1. What is the LCM of 1887 and 1891?
Answer: LCM of 1887 and 1891 is 3568317.
2. What are the Factors of 1887?
Answer: Factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887. There are 8 integers that are factors of 1887. The greatest factor of 1887 is 1887.
3. What are the Factors of 1891?
Answer: Factors of 1891 are 1, 31, 61, 1891. There are 4 integers that are factors of 1891. The greatest factor of 1891 is 1891.
4. How to Find the LCM of 1887 and 1891?
Answer:
Least Common Multiple of 1887 and 1891 = 3568317
Step 1: Find the prime factorization of 1887
1887 = 3 x 17 x 37
Step 2: Find the prime factorization of 1891
1891 = 31 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 = 3568317 = 3 x 17 x 31 x 37 x 61
Step 4: Therefore, the least common multiple of 1887 and 1891 is 3568317.