Least Common Multiple of 10203 and 10207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10203 and 10207 the smallest integer that is 104142021 that is divisible by both numbers.
Least Common Multiple (LCM) of 10203 and 10207 is 104142021.
LCM(10203,10207) = 104142021
LCM of 10203 and 10207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10203 and 10207 by Prime method
- Least Common Multiple of 10203 and 10207 with GCF Formula
LCM of 10203 and 10207 is 104142021
Least common multiple can be found by multiplying the highest exponent prime factors of 10203 and 10207. First we will calculate the prime factors of 10203 and 10207.
Prime Factorization of 10203
| 3 | 10203 |
| 19 | 3401 |
| 179 | 179 |
| 1 |
Prime factors of 10203 are 3, 19,179. Prime factorization of 10203 in exponential form is:
10203 = 31×191×1791
Prime Factorization of 10207
| 59 | 10207 |
| 173 | 173 |
| 1 |
Prime factors of 10207 are 59,173. Prime factorization of 10207 in exponential form is:
10207 = 591×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 10203 and 10207.
LCM(10203,10207) = 31×191×591×1731×1791
LCM(10203,10207) = 104142021
Factors of 10203
List of positive integer factors of 10203 that divides 10203 without a remainder.
1, 3, 19, 57, 179, 537, 3401, 10203
Factors of 10207
List of positive integer factors of 10207 that divides 10207 without a remainder.
1, 59, 173, 10207
Least Common Multiple of 10203 and 10207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10203 and 10207, than apply into the LCM equation.
GCF(10203,10207) = 1
LCM(10203,10207) = ( 10203 × 10207) / 1
LCM(10203,10207) = 104142021 / 1
LCM(10203,10207) = 104142021
Properties of LCM 10203 and 10207
(i) The LCM of 10207 and 10203 is associative
LCM of 10203 and 10207 = LCM of 10207 and 10203
Related Least Common Multiples of 10203
Related Least Common Multiples of 10207
Frequently Asked Questions on LCM of 10203 and 10207
1. What is the LCM of 10203 and 10207?
Answer: LCM of 10203 and 10207 is 104142021.
2. What are the Factors of 10203?
Answer: Factors of 10203 are 1, 3, 19, 57, 179, 537, 3401, 10203. There are 8 integers that are factors of 10203. The greatest factor of 10203 is 10203.
3. What are the Factors of 10207?
Answer: Factors of 10207 are 1, 59, 173, 10207. There are 4 integers that are factors of 10207. The greatest factor of 10207 is 10207.
4. How to Find the LCM of 10203 and 10207?
Answer:
Least Common Multiple of 10203 and 10207 = 104142021
Step 1: Find the prime factorization of 10203
10203 = 3 x 19 x 179
Step 2: Find the prime factorization of 10207
10207 = 59 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104142021 = 3 x 19 x 59 x 173 x 179
Step 4: Therefore, the least common multiple of 10203 and 10207 is 104142021.