Least Common Multiple of 1885 and 1889
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1885 and 1889 the smallest integer that is 3560765 that is divisible by both numbers.
Least Common Multiple (LCM) of 1885 and 1889 is 3560765.
LCM(1885,1889) = 3560765
LCM of 1885 and 1889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1885 and 1889 by Prime method
- Least Common Multiple of 1885 and 1889 with GCF Formula
LCM of 1885 and 1889 is 3560765
Least common multiple can be found by multiplying the highest exponent prime factors of 1885 and 1889. First we will calculate the prime factors of 1885 and 1889.
Prime Factorization of 1885
| 5 | 1885 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 1885 are 5, 13,29. Prime factorization of 1885 in exponential form is:
1885 = 51×131×291
Prime Factorization of 1889
| 1889 | 1889 |
| 1 |
Prime factors of 1889 are 1889. Prime factorization of 1889 in exponential form is:
1889 = 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 1885 and 1889.
LCM(1885,1889) = 51×131×291×18891
LCM(1885,1889) = 3560765
Factors of 1885
List of positive integer factors of 1885 that divides 1885 without a remainder.
1, 5, 13, 29, 65, 145, 377, 1885
Factors of 1889
List of positive integer factors of 1889 that divides 1889 without a remainder.
1, 1889
Least Common Multiple of 1885 and 1889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1885 and 1889, than apply into the LCM equation.
GCF(1885,1889) = 1
LCM(1885,1889) = ( 1885 × 1889) / 1
LCM(1885,1889) = 3560765 / 1
LCM(1885,1889) = 3560765
Properties of LCM 1885 and 1889
(i) The LCM of 1889 and 1885 is associative
LCM of 1885 and 1889 = LCM of 1889 and 1885
Related Least Common Multiples of 1885
Related Least Common Multiples of 1889
Frequently Asked Questions on LCM of 1885 and 1889
1. What is the LCM of 1885 and 1889?
Answer: LCM of 1885 and 1889 is 3560765.
2. What are the Factors of 1885?
Answer: Factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885. There are 8 integers that are factors of 1885. The greatest factor of 1885 is 1885.
3. What are the Factors of 1889?
Answer: Factors of 1889 are 1, 1889. There are 2 integers that are factors of 1889. The greatest factor of 1889 is 1889.
4. How to Find the LCM of 1885 and 1889?
Answer:
Least Common Multiple of 1885 and 1889 = 3560765
Step 1: Find the prime factorization of 1885
1885 = 5 x 13 x 29
Step 2: Find the prime factorization of 1889
1889 = 1889
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3560765 = 5 x 13 x 29 x 1889
Step 4: Therefore, the least common multiple of 1885 and 1889 is 3560765.