Least Common Multiple of 201 and 209
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 201 and 209 the smallest integer that is 42009 that is divisible by both numbers.
Least Common Multiple (LCM) of 201 and 209 is 42009.
LCM(201,209) = 42009
LCM of 201 and 209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 201 and 209 by Prime method
- Least Common Multiple of 201 and 209 with GCF Formula
LCM of 201 and 209 is 42009
Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 209. First we will calculate the prime factors of 201 and 209.
Prime Factorization of 201
| 3 | 201 |
| 67 | 67 |
| 1 |
Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:
201 = 31×671
Prime Factorization of 209
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 209 are 11,19. Prime factorization of 209 in exponential form is:
209 = 111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 209.
LCM(201,209) = 31×111×191×671
LCM(201,209) = 42009
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Least Common Multiple of 201 and 209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 209, than apply into the LCM equation.
GCF(201,209) = 1
LCM(201,209) = ( 201 × 209) / 1
LCM(201,209) = 42009 / 1
LCM(201,209) = 42009
Properties of LCM 201 and 209
(i) The LCM of 209 and 201 is associative
LCM of 201 and 209 = LCM of 209 and 201
Related Least Common Multiples of 201
Related Least Common Multiples of 209
Frequently Asked Questions on LCM of 201 and 209
1. What is the LCM of 201 and 209?
Answer: LCM of 201 and 209 is 42009.
2. What are the Factors of 201?
Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.
3. What are the Factors of 209?
Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.
4. How to Find the LCM of 201 and 209?
Answer:
Least Common Multiple of 201 and 209 = 42009
Step 1: Find the prime factorization of 201
201 = 3 x 67
Step 2: Find the prime factorization of 209
209 = 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42009 = 3 x 11 x 19 x 67
Step 4: Therefore, the least common multiple of 201 and 209 is 42009.