Least Common Multiple of 2185 and 2190
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2185 and 2190 the smallest integer that is 957030 that is divisible by both numbers.
Least Common Multiple (LCM) of 2185 and 2190 is 957030.
LCM(2185,2190) = 957030
LCM of 2185 and 2190
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2185 and 2190 by Prime method
- Least Common Multiple of 2185 and 2190 with GCF Formula
LCM of 2185 and 2190 is 957030
Least common multiple can be found by multiplying the highest exponent prime factors of 2185 and 2190. First we will calculate the prime factors of 2185 and 2190.
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
Prime Factorization of 2190
| 2 | 2190 |
| 3 | 1095 |
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 2190 are 2, 3, 5,73. Prime factorization of 2190 in exponential form is:
2190 = 21×31×51×731
Now multiplying the highest exponent prime factors to calculate the LCM of 2185 and 2190.
LCM(2185,2190) = 21×31×51×191×231×731
LCM(2185,2190) = 957030
Factors of 2185
List of positive integer factors of 2185 that divides 2185 without a remainder.
1, 5, 19, 23, 95, 115, 437, 2185
Factors of 2190
List of positive integer factors of 2190 that divides 2190 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190
Least Common Multiple of 2185 and 2190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2185 and 2190, than apply into the LCM equation.
GCF(2185,2190) = 5
LCM(2185,2190) = ( 2185 × 2190) / 5
LCM(2185,2190) = 4785150 / 5
LCM(2185,2190) = 957030
Properties of LCM 2185 and 2190
(i) The LCM of 2190 and 2185 is associative
LCM of 2185 and 2190 = LCM of 2190 and 2185
Related Least Common Multiples of 2185
Related Least Common Multiples of 2190
Frequently Asked Questions on LCM of 2185 and 2190
1. What is the LCM of 2185 and 2190?
Answer: LCM of 2185 and 2190 is 957030.
2. 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.
3. What are the Factors of 2190?
Answer: Factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. There are 16 integers that are factors of 2190. The greatest factor of 2190 is 2190.
4. How to Find the LCM of 2185 and 2190?
Answer:
Least Common Multiple of 2185 and 2190 = 957030
Step 1: Find the prime factorization of 2185
2185 = 5 x 19 x 23
Step 2: Find the prime factorization of 2190
2190 = 2 x 3 x 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 957030 = 2 x 3 x 5 x 19 x 23 x 73
Step 4: Therefore, the least common multiple of 2185 and 2190 is 957030.