Least Common Multiple of 10201 and 10209
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10201 and 10209 the smallest integer that is 104142009 that is divisible by both numbers.
Least Common Multiple (LCM) of 10201 and 10209 is 104142009.
LCM(10201,10209) = 104142009
LCM of 10201 and 10209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10201 and 10209 by Prime method
- Least Common Multiple of 10201 and 10209 with GCF Formula
LCM of 10201 and 10209 is 104142009
Least common multiple can be found by multiplying the highest exponent prime factors of 10201 and 10209. First we will calculate the prime factors of 10201 and 10209.
Prime Factorization of 10201
| 101 | 10201 |
| 101 | 101 |
| 1 |
Prime factors of 10201 are 101. Prime factorization of 10201 in exponential form is:
10201 = 1012
Prime Factorization of 10209
| 3 | 10209 |
| 41 | 3403 |
| 83 | 83 |
| 1 |
Prime factors of 10209 are 3, 41,83. Prime factorization of 10209 in exponential form is:
10209 = 31×411×831
Now multiplying the highest exponent prime factors to calculate the LCM of 10201 and 10209.
LCM(10201,10209) = 31×411×831×1012
LCM(10201,10209) = 104142009
Factors of 10201
List of positive integer factors of 10201 that divides 10201 without a remainder.
1, 101, 10201
Factors of 10209
List of positive integer factors of 10209 that divides 10209 without a remainder.
1, 3, 41, 83, 123, 249, 3403, 10209
Least Common Multiple of 10201 and 10209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10201 and 10209, than apply into the LCM equation.
GCF(10201,10209) = 1
LCM(10201,10209) = ( 10201 × 10209) / 1
LCM(10201,10209) = 104142009 / 1
LCM(10201,10209) = 104142009
Properties of LCM 10201 and 10209
(i) The LCM of 10209 and 10201 is associative
LCM of 10201 and 10209 = LCM of 10209 and 10201
Related Least Common Multiples of 10201
Related Least Common Multiples of 10209
Frequently Asked Questions on LCM of 10201 and 10209
1. What is the LCM of 10201 and 10209?
Answer: LCM of 10201 and 10209 is 104142009.
2. What are the Factors of 10201?
Answer: Factors of 10201 are 1, 101, 10201. There are 3 integers that are factors of 10201. The greatest factor of 10201 is 10201.
3. What are the Factors of 10209?
Answer: Factors of 10209 are 1, 3, 41, 83, 123, 249, 3403, 10209. There are 8 integers that are factors of 10209. The greatest factor of 10209 is 10209.
4. How to Find the LCM of 10201 and 10209?
Answer:
Least Common Multiple of 10201 and 10209 = 104142009
Step 1: Find the prime factorization of 10201
10201 = 101 x 101
Step 2: Find the prime factorization of 10209
10209 = 3 x 41 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104142009 = 3 x 41 x 83 x 101 x 101
Step 4: Therefore, the least common multiple of 10201 and 10209 is 104142009.