Least Common Multiple of 1855 and 1857
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1855 and 1857 the smallest integer that is 3444735 that is divisible by both numbers.
Least Common Multiple (LCM) of 1855 and 1857 is 3444735.
LCM(1855,1857) = 3444735
LCM of 1855 and 1857
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1855 and 1857 by Prime method
- Least Common Multiple of 1855 and 1857 with GCF Formula
LCM of 1855 and 1857 is 3444735
Least common multiple can be found by multiplying the highest exponent prime factors of 1855 and 1857. First we will calculate the prime factors of 1855 and 1857.
Prime Factorization of 1855
| 5 | 1855 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 1855 are 5, 7,53. Prime factorization of 1855 in exponential form is:
1855 = 51×71×531
Prime Factorization of 1857
| 3 | 1857 |
| 619 | 619 |
| 1 |
Prime factors of 1857 are 3,619. Prime factorization of 1857 in exponential form is:
1857 = 31×6191
Now multiplying the highest exponent prime factors to calculate the LCM of 1855 and 1857.
LCM(1855,1857) = 31×51×71×531×6191
LCM(1855,1857) = 3444735
Factors of 1855
List of positive integer factors of 1855 that divides 1855 without a remainder.
1, 5, 7, 35, 53, 265, 371, 1855
Factors of 1857
List of positive integer factors of 1857 that divides 1857 without a remainder.
1, 3, 619, 1857
Least Common Multiple of 1855 and 1857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1855 and 1857, than apply into the LCM equation.
GCF(1855,1857) = 1
LCM(1855,1857) = ( 1855 × 1857) / 1
LCM(1855,1857) = 3444735 / 1
LCM(1855,1857) = 3444735
Properties of LCM 1855 and 1857
(i) The LCM of 1857 and 1855 is associative
LCM of 1855 and 1857 = LCM of 1857 and 1855
Related Least Common Multiples of 1855
Related Least Common Multiples of 1857
Frequently Asked Questions on LCM of 1855 and 1857
1. What is the LCM of 1855 and 1857?
Answer: LCM of 1855 and 1857 is 3444735.
2. What are the Factors of 1855?
Answer: Factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855. There are 8 integers that are factors of 1855. The greatest factor of 1855 is 1855.
3. What are the Factors of 1857?
Answer: Factors of 1857 are 1, 3, 619, 1857. There are 4 integers that are factors of 1857. The greatest factor of 1857 is 1857.
4. How to Find the LCM of 1855 and 1857?
Answer:
Least Common Multiple of 1855 and 1857 = 3444735
Step 1: Find the prime factorization of 1855
1855 = 5 x 7 x 53
Step 2: Find the prime factorization of 1857
1857 = 3 x 619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3444735 = 3 x 5 x 7 x 53 x 619
Step 4: Therefore, the least common multiple of 1855 and 1857 is 3444735.