Least Common Multiple of 2183 and 2185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2183 and 2185 the smallest integer that is 4769855 that is divisible by both numbers.
Least Common Multiple (LCM) of 2183 and 2185 is 4769855.
LCM(2183,2185) = 4769855
LCM of 2183 and 2185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2183 and 2185 by Prime method
- Least Common Multiple of 2183 and 2185 with GCF Formula
LCM of 2183 and 2185 is 4769855
Least common multiple can be found by multiplying the highest exponent prime factors of 2183 and 2185. First we will calculate the prime factors of 2183 and 2185.
Prime Factorization of 2183
| 37 | 2183 |
| 59 | 59 |
| 1 |
Prime factors of 2183 are 37,59. Prime factorization of 2183 in exponential form is:
2183 = 371×591
Prime Factorization of 2185
| 5 | 2185 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 2185 are 5, 19,23. Prime factorization of 2185 in exponential form is:
2185 = 51×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 2183 and 2185.
LCM(2183,2185) = 51×191×231×371×591
LCM(2183,2185) = 4769855
Factors of 2183
List of positive integer factors of 2183 that divides 2183 without a remainder.
1, 37, 59, 2183
Factors of 2185
List of positive integer factors of 2185 that divides 2185 without a remainder.
1, 5, 19, 23, 95, 115, 437, 2185
Least Common Multiple of 2183 and 2185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2183 and 2185, than apply into the LCM equation.
GCF(2183,2185) = 1
LCM(2183,2185) = ( 2183 × 2185) / 1
LCM(2183,2185) = 4769855 / 1
LCM(2183,2185) = 4769855
Properties of LCM 2183 and 2185
(i) The LCM of 2185 and 2183 is associative
LCM of 2183 and 2185 = LCM of 2185 and 2183
Related Least Common Multiples of 2183
Related Least Common Multiples of 2185
Frequently Asked Questions on LCM of 2183 and 2185
1. What is the LCM of 2183 and 2185?
Answer: LCM of 2183 and 2185 is 4769855.
2. What are the Factors of 2183?
Answer: Factors of 2183 are 1, 37, 59, 2183. There are 4 integers that are factors of 2183. The greatest factor of 2183 is 2183.
3. What are the Factors of 2185?
Answer: Factors of 2185 are 1, 5, 19, 23, 95, 115, 437, 2185. There are 8 integers that are factors of 2185. The greatest factor of 2185 is 2185.
4. How to Find the LCM of 2183 and 2185?
Answer:
Least Common Multiple of 2183 and 2185 = 4769855
Step 1: Find the prime factorization of 2183
2183 = 37 x 59
Step 2: Find the prime factorization of 2185
2185 = 5 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4769855 = 5 x 19 x 23 x 37 x 59
Step 4: Therefore, the least common multiple of 2183 and 2185 is 4769855.