Least Common Multiple of 10189 and 10197
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10189 and 10197 the smallest integer that is 103897233 that is divisible by both numbers.
Least Common Multiple (LCM) of 10189 and 10197 is 103897233.
LCM(10189,10197) = 103897233
LCM of 10189 and 10197
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10189 and 10197 by Prime method
- Least Common Multiple of 10189 and 10197 with GCF Formula
LCM of 10189 and 10197 is 103897233
Least common multiple can be found by multiplying the highest exponent prime factors of 10189 and 10197. First we will calculate the prime factors of 10189 and 10197.
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
Prime Factorization of 10197
| 3 | 10197 |
| 3 | 3399 |
| 11 | 1133 |
| 103 | 103 |
| 1 |
Prime factors of 10197 are 3, 11,103. Prime factorization of 10197 in exponential form is:
10197 = 32×111×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 10189 and 10197.
LCM(10189,10197) = 32×111×231×1031×4431
LCM(10189,10197) = 103897233
Factors of 10189
List of positive integer factors of 10189 that divides 10189 without a remainder.
1, 23, 443, 10189
Factors of 10197
List of positive integer factors of 10197 that divides 10197 without a remainder.
1, 3, 9, 11, 33, 99, 103, 309, 927, 1133, 3399, 10197
Least Common Multiple of 10189 and 10197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10189 and 10197, than apply into the LCM equation.
GCF(10189,10197) = 1
LCM(10189,10197) = ( 10189 × 10197) / 1
LCM(10189,10197) = 103897233 / 1
LCM(10189,10197) = 103897233
Properties of LCM 10189 and 10197
(i) The LCM of 10197 and 10189 is associative
LCM of 10189 and 10197 = LCM of 10197 and 10189
Related Least Common Multiples of 10189
Related Least Common Multiples of 10197
Frequently Asked Questions on LCM of 10189 and 10197
1. What is the LCM of 10189 and 10197?
Answer: LCM of 10189 and 10197 is 103897233.
2. 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.
3. What are the Factors of 10197?
Answer: Factors of 10197 are 1, 3, 9, 11, 33, 99, 103, 309, 927, 1133, 3399, 10197. There are 12 integers that are factors of 10197. The greatest factor of 10197 is 10197.
4. How to Find the LCM of 10189 and 10197?
Answer:
Least Common Multiple of 10189 and 10197 = 103897233
Step 1: Find the prime factorization of 10189
10189 = 23 x 443
Step 2: Find the prime factorization of 10197
10197 = 3 x 3 x 11 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103897233 = 3 x 3 x 11 x 23 x 103 x 443
Step 4: Therefore, the least common multiple of 10189 and 10197 is 103897233.