Least Common Multiple of 10183 and 10189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10183 and 10189 the smallest integer that is 103754587 that is divisible by both numbers.
Least Common Multiple (LCM) of 10183 and 10189 is 103754587.
LCM(10183,10189) = 103754587
LCM of 10183 and 10189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10183 and 10189 by Prime method
- Least Common Multiple of 10183 and 10189 with GCF Formula
LCM of 10183 and 10189 is 103754587
Least common multiple can be found by multiplying the highest exponent prime factors of 10183 and 10189. First we will calculate the prime factors of 10183 and 10189.
Prime Factorization of 10183
| 17 | 10183 |
| 599 | 599 |
| 1 |
Prime factors of 10183 are 17,599. Prime factorization of 10183 in exponential form is:
10183 = 171×5991
Prime Factorization of 10189
| 23 | 10189 |
| 443 | 443 |
| 1 |
Prime factors of 10189 are 23,443. Prime factorization of 10189 in exponential form is:
10189 = 231×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 10183 and 10189.
LCM(10183,10189) = 171×231×4431×5991
LCM(10183,10189) = 103754587
Factors of 10183
List of positive integer factors of 10183 that divides 10183 without a remainder.
1, 17, 599, 10183
Factors of 10189
List of positive integer factors of 10189 that divides 10189 without a remainder.
1, 23, 443, 10189
Least Common Multiple of 10183 and 10189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10183 and 10189, than apply into the LCM equation.
GCF(10183,10189) = 1
LCM(10183,10189) = ( 10183 × 10189) / 1
LCM(10183,10189) = 103754587 / 1
LCM(10183,10189) = 103754587
Properties of LCM 10183 and 10189
(i) The LCM of 10189 and 10183 is associative
LCM of 10183 and 10189 = LCM of 10189 and 10183
Related Least Common Multiples of 10183
Related Least Common Multiples of 10189
Frequently Asked Questions on LCM of 10183 and 10189
1. What is the LCM of 10183 and 10189?
Answer: LCM of 10183 and 10189 is 103754587.
2. What are the Factors of 10183?
Answer: Factors of 10183 are 1, 17, 599, 10183. There are 4 integers that are factors of 10183. The greatest factor of 10183 is 10183.
3. What are the Factors of 10189?
Answer: Factors of 10189 are 1, 23, 443, 10189. There are 4 integers that are factors of 10189. The greatest factor of 10189 is 10189.
4. How to Find the LCM of 10183 and 10189?
Answer:
Least Common Multiple of 10183 and 10189 = 103754587
Step 1: Find the prime factorization of 10183
10183 = 17 x 599
Step 2: Find the prime factorization of 10189
10189 = 23 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103754587 = 17 x 23 x 443 x 599
Step 4: Therefore, the least common multiple of 10183 and 10189 is 103754587.