Least Common Multiple of 1849 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 1849 and 1857 the smallest integer that is 3433593 that is divisible by both numbers.
Least Common Multiple (LCM) of 1849 and 1857 is 3433593.
LCM(1849,1857) = 3433593
LCM of 1849 and 1857
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1849 and 1857 by Prime method
- Least Common Multiple of 1849 and 1857 with GCF Formula
LCM of 1849 and 1857 is 3433593
Least common multiple can be found by multiplying the highest exponent prime factors of 1849 and 1857. First we will calculate the prime factors of 1849 and 1857.
Prime Factorization of 1849
| 43 | 1849 |
| 43 | 43 |
| 1 |
Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:
1849 = 432
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 1849 and 1857.
LCM(1849,1857) = 31×432×6191
LCM(1849,1857) = 3433593
Factors of 1849
List of positive integer factors of 1849 that divides 1849 without a remainder.
1, 43, 1849
Factors of 1857
List of positive integer factors of 1857 that divides 1857 without a remainder.
1, 3, 619, 1857
Least Common Multiple of 1849 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 1849 and 1857, than apply into the LCM equation.
GCF(1849,1857) = 1
LCM(1849,1857) = ( 1849 × 1857) / 1
LCM(1849,1857) = 3433593 / 1
LCM(1849,1857) = 3433593
Properties of LCM 1849 and 1857
(i) The LCM of 1857 and 1849 is associative
LCM of 1849 and 1857 = LCM of 1857 and 1849
Related Least Common Multiples of 1849
Related Least Common Multiples of 1857
Frequently Asked Questions on LCM of 1849 and 1857
1. What is the LCM of 1849 and 1857?
Answer: LCM of 1849 and 1857 is 3433593.
2. What are the Factors of 1849?
Answer: Factors of 1849 are 1, 43, 1849. There are 3 integers that are factors of 1849. The greatest factor of 1849 is 1849.
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 1849 and 1857?
Answer:
Least Common Multiple of 1849 and 1857 = 3433593
Step 1: Find the prime factorization of 1849
1849 = 43 x 43
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 = 3433593 = 3 x 43 x 43 x 619
Step 4: Therefore, the least common multiple of 1849 and 1857 is 3433593.