Least Common Multiple of 1857 and 1865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1857 and 1865 the smallest integer that is 3463305 that is divisible by both numbers.
Least Common Multiple (LCM) of 1857 and 1865 is 3463305.
LCM(1857,1865) = 3463305
LCM of 1857 and 1865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1857 and 1865 by Prime method
- Least Common Multiple of 1857 and 1865 with GCF Formula
LCM of 1857 and 1865 is 3463305
Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1865. First we will calculate the prime factors of 1857 and 1865.
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
Prime Factorization of 1865
| 5 | 1865 |
| 373 | 373 |
| 1 |
Prime factors of 1865 are 5,373. Prime factorization of 1865 in exponential form is:
1865 = 51×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1865.
LCM(1857,1865) = 31×51×3731×6191
LCM(1857,1865) = 3463305
Factors of 1857
List of positive integer factors of 1857 that divides 1857 without a remainder.
1, 3, 619, 1857
Factors of 1865
List of positive integer factors of 1865 that divides 1865 without a remainder.
1, 5, 373, 1865
Least Common Multiple of 1857 and 1865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1857 and 1865, than apply into the LCM equation.
GCF(1857,1865) = 1
LCM(1857,1865) = ( 1857 × 1865) / 1
LCM(1857,1865) = 3463305 / 1
LCM(1857,1865) = 3463305
Properties of LCM 1857 and 1865
(i) The LCM of 1865 and 1857 is associative
LCM of 1857 and 1865 = LCM of 1865 and 1857
Related Least Common Multiples of 1857
Related Least Common Multiples of 1865
Frequently Asked Questions on LCM of 1857 and 1865
1. What is the LCM of 1857 and 1865?
Answer: LCM of 1857 and 1865 is 3463305.
2. 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.
3. What are the Factors of 1865?
Answer: Factors of 1865 are 1, 5, 373, 1865. There are 4 integers that are factors of 1865. The greatest factor of 1865 is 1865.
4. How to Find the LCM of 1857 and 1865?
Answer:
Least Common Multiple of 1857 and 1865 = 3463305
Step 1: Find the prime factorization of 1857
1857 = 3 x 619
Step 2: Find the prime factorization of 1865
1865 = 5 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3463305 = 3 x 5 x 373 x 619
Step 4: Therefore, the least common multiple of 1857 and 1865 is 3463305.