Least Common Multiple of 1845 and 1853
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1845 and 1853 the smallest integer that is 3418785 that is divisible by both numbers.
Least Common Multiple (LCM) of 1845 and 1853 is 3418785.
LCM(1845,1853) = 3418785
LCM of 1845 and 1853
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1845 and 1853 by Prime method
- Least Common Multiple of 1845 and 1853 with GCF Formula
LCM of 1845 and 1853 is 3418785
Least common multiple can be found by multiplying the highest exponent prime factors of 1845 and 1853. First we will calculate the prime factors of 1845 and 1853.
Prime Factorization of 1845
| 3 | 1845 |
| 3 | 615 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 1845 are 3, 5,41. Prime factorization of 1845 in exponential form is:
1845 = 32×51×411
Prime Factorization of 1853
| 17 | 1853 |
| 109 | 109 |
| 1 |
Prime factors of 1853 are 17,109. Prime factorization of 1853 in exponential form is:
1853 = 171×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 1845 and 1853.
LCM(1845,1853) = 32×51×171×411×1091
LCM(1845,1853) = 3418785
Factors of 1845
List of positive integer factors of 1845 that divides 1845 without a remainder.
1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
Factors of 1853
List of positive integer factors of 1853 that divides 1853 without a remainder.
1, 17, 109, 1853
Least Common Multiple of 1845 and 1853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1845 and 1853, than apply into the LCM equation.
GCF(1845,1853) = 1
LCM(1845,1853) = ( 1845 × 1853) / 1
LCM(1845,1853) = 3418785 / 1
LCM(1845,1853) = 3418785
Properties of LCM 1845 and 1853
(i) The LCM of 1853 and 1845 is associative
LCM of 1845 and 1853 = LCM of 1853 and 1845
Related Least Common Multiples of 1845
Related Least Common Multiples of 1853
Frequently Asked Questions on LCM of 1845 and 1853
1. What is the LCM of 1845 and 1853?
Answer: LCM of 1845 and 1853 is 3418785.
2. What are the Factors of 1845?
Answer: Factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845. There are 12 integers that are factors of 1845. The greatest factor of 1845 is 1845.
3. What are the Factors of 1853?
Answer: Factors of 1853 are 1, 17, 109, 1853. There are 4 integers that are factors of 1853. The greatest factor of 1853 is 1853.
4. How to Find the LCM of 1845 and 1853?
Answer:
Least Common Multiple of 1845 and 1853 = 3418785
Step 1: Find the prime factorization of 1845
1845 = 3 x 3 x 5 x 41
Step 2: Find the prime factorization of 1853
1853 = 17 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3418785 = 3 x 3 x 5 x 17 x 41 x 109
Step 4: Therefore, the least common multiple of 1845 and 1853 is 3418785.