Least Common Multiple of 1833 and 1837
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1833 and 1837 the smallest integer that is 3367221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1833 and 1837 is 3367221.
LCM(1833,1837) = 3367221
LCM of 1833 and 1837
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1833 and 1837 by Prime method
- Least Common Multiple of 1833 and 1837 with GCF Formula
LCM of 1833 and 1837 is 3367221
Least common multiple can be found by multiplying the highest exponent prime factors of 1833 and 1837. First we will calculate the prime factors of 1833 and 1837.
Prime Factorization of 1833
| 3 | 1833 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 1833 are 3, 13,47. Prime factorization of 1833 in exponential form is:
1833 = 31×131×471
Prime Factorization of 1837
| 11 | 1837 |
| 167 | 167 |
| 1 |
Prime factors of 1837 are 11,167. Prime factorization of 1837 in exponential form is:
1837 = 111×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 1833 and 1837.
LCM(1833,1837) = 31×111×131×471×1671
LCM(1833,1837) = 3367221
Factors of 1833
List of positive integer factors of 1833 that divides 1833 without a remainder.
1, 3, 13, 39, 47, 141, 611, 1833
Factors of 1837
List of positive integer factors of 1837 that divides 1837 without a remainder.
1, 11, 167, 1837
Least Common Multiple of 1833 and 1837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1833 and 1837, than apply into the LCM equation.
GCF(1833,1837) = 1
LCM(1833,1837) = ( 1833 × 1837) / 1
LCM(1833,1837) = 3367221 / 1
LCM(1833,1837) = 3367221
Properties of LCM 1833 and 1837
(i) The LCM of 1837 and 1833 is associative
LCM of 1833 and 1837 = LCM of 1837 and 1833
Related Least Common Multiples of 1833
Related Least Common Multiples of 1837
Frequently Asked Questions on LCM of 1833 and 1837
1. What is the LCM of 1833 and 1837?
Answer: LCM of 1833 and 1837 is 3367221.
2. What are the Factors of 1833?
Answer: Factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833. There are 8 integers that are factors of 1833. The greatest factor of 1833 is 1833.
3. What are the Factors of 1837?
Answer: Factors of 1837 are 1, 11, 167, 1837. There are 4 integers that are factors of 1837. The greatest factor of 1837 is 1837.
4. How to Find the LCM of 1833 and 1837?
Answer:
Least Common Multiple of 1833 and 1837 = 3367221
Step 1: Find the prime factorization of 1833
1833 = 3 x 13 x 47
Step 2: Find the prime factorization of 1837
1837 = 11 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3367221 = 3 x 11 x 13 x 47 x 167
Step 4: Therefore, the least common multiple of 1833 and 1837 is 3367221.