Least Common Multiple of 1881 and 1885
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1881 and 1885 the smallest integer that is 3545685 that is divisible by both numbers.
Least Common Multiple (LCM) of 1881 and 1885 is 3545685.
LCM(1881,1885) = 3545685
LCM of 1881 and 1885
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1881 and 1885 by Prime method
- Least Common Multiple of 1881 and 1885 with GCF Formula
LCM of 1881 and 1885 is 3545685
Least common multiple can be found by multiplying the highest exponent prime factors of 1881 and 1885. First we will calculate the prime factors of 1881 and 1885.
Prime Factorization of 1881
| 3 | 1881 |
| 3 | 627 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 1881 are 3, 11,19. Prime factorization of 1881 in exponential form is:
1881 = 32×111×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1881 and 1885.
LCM(1881,1885) = 32×51×111×131×191×291
LCM(1881,1885) = 3545685
Factors of 1881
List of positive integer factors of 1881 that divides 1881 without a remainder.
1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881
Factors of 1885
List of positive integer factors of 1885 that divides 1885 without a remainder.
1, 5, 13, 29, 65, 145, 377, 1885
Least Common Multiple of 1881 and 1885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1881 and 1885, than apply into the LCM equation.
GCF(1881,1885) = 1
LCM(1881,1885) = ( 1881 × 1885) / 1
LCM(1881,1885) = 3545685 / 1
LCM(1881,1885) = 3545685
Properties of LCM 1881 and 1885
(i) The LCM of 1885 and 1881 is associative
LCM of 1881 and 1885 = LCM of 1885 and 1881
Related Least Common Multiples of 1881
Related Least Common Multiples of 1885
Frequently Asked Questions on LCM of 1881 and 1885
1. What is the LCM of 1881 and 1885?
Answer: LCM of 1881 and 1885 is 3545685.
2. What are the Factors of 1881?
Answer: Factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881. There are 12 integers that are factors of 1881. The greatest factor of 1881 is 1881.
3. 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.
4. How to Find the LCM of 1881 and 1885?
Answer:
Least Common Multiple of 1881 and 1885 = 3545685
Step 1: Find the prime factorization of 1881
1881 = 3 x 3 x 11 x 19
Step 2: Find the prime factorization of 1885
1885 = 5 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3545685 = 3 x 3 x 5 x 11 x 13 x 19 x 29
Step 4: Therefore, the least common multiple of 1881 and 1885 is 3545685.