Least Common Multiple of 34201 and 34209
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34201 and 34209 the smallest integer that is 1169982009 that is divisible by both numbers.
Least Common Multiple (LCM) of 34201 and 34209 is 1169982009.
LCM(34201,34209) = 1169982009
LCM of 34201 and 34209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34201 and 34209 by Prime method
- Least Common Multiple of 34201 and 34209 with GCF Formula
LCM of 34201 and 34209 is 1169982009
Least common multiple can be found by multiplying the highest exponent prime factors of 34201 and 34209. First we will calculate the prime factors of 34201 and 34209.
Prime Factorization of 34201
| 23 | 34201 |
| 1487 | 1487 |
| 1 |
Prime factors of 34201 are 23,1487. Prime factorization of 34201 in exponential form is:
34201 = 231×14871
Prime Factorization of 34209
| 3 | 34209 |
| 3 | 11403 |
| 3 | 3801 |
| 7 | 1267 |
| 181 | 181 |
| 1 |
Prime factors of 34209 are 3, 7,181. Prime factorization of 34209 in exponential form is:
34209 = 33×71×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 34201 and 34209.
LCM(34201,34209) = 33×71×231×1811×14871
LCM(34201,34209) = 1169982009
Factors of 34201
List of positive integer factors of 34201 that divides 34201 without a remainder.
1, 23, 1487, 34201
Factors of 34209
List of positive integer factors of 34209 that divides 34209 without a remainder.
1, 3, 7, 9, 21, 27, 63, 181, 189, 543, 1267, 1629, 3801, 4887, 11403, 34209
Least Common Multiple of 34201 and 34209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34201 and 34209, than apply into the LCM equation.
GCF(34201,34209) = 1
LCM(34201,34209) = ( 34201 × 34209) / 1
LCM(34201,34209) = 1169982009 / 1
LCM(34201,34209) = 1169982009
Properties of LCM 34201 and 34209
(i) The LCM of 34209 and 34201 is associative
LCM of 34201 and 34209 = LCM of 34209 and 34201
Related Least Common Multiples of 34201
Related Least Common Multiples of 34209
Frequently Asked Questions on LCM of 34201 and 34209
1. What is the LCM of 34201 and 34209?
Answer: LCM of 34201 and 34209 is 1169982009.
2. What are the Factors of 34201?
Answer: Factors of 34201 are 1, 23, 1487, 34201. There are 4 integers that are factors of 34201. The greatest factor of 34201 is 34201.
3. What are the Factors of 34209?
Answer: Factors of 34209 are 1, 3, 7, 9, 21, 27, 63, 181, 189, 543, 1267, 1629, 3801, 4887, 11403, 34209. There are 16 integers that are factors of 34209. The greatest factor of 34209 is 34209.
4. How to Find the LCM of 34201 and 34209?
Answer:
Least Common Multiple of 34201 and 34209 = 1169982009
Step 1: Find the prime factorization of 34201
34201 = 23 x 1487
Step 2: Find the prime factorization of 34209
34209 = 3 x 3 x 3 x 7 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1169982009 = 3 x 3 x 3 x 7 x 23 x 181 x 1487
Step 4: Therefore, the least common multiple of 34201 and 34209 is 1169982009.