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 203 the smallest integer that is 40803 that is divisible by both numbers.
Least Common Multiple (LCM) of 201 and 203 is 40803.
LCM(201,203) = 40803
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 203. First we will calculate the prime factors of 201 and 203.
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 203
7 | 203 |
29 | 29 |
1 |
Prime factors of 203 are 7,29. Prime factorization of 203 in exponential form is:
203 = 71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 203.
LCM(201,203) = 31×71×291×671
LCM(201,203) = 40803
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1, 7, 29, 203
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 203, than apply into the LCM equation.
GCF(201,203) = 1
LCM(201,203) = ( 201 × 203) / 1
LCM(201,203) = 40803 / 1
LCM(201,203) = 40803
(i) The LCM of 203 and 201 is associative
LCM of 201 and 203 = LCM of 203 and 201
1. What is the LCM of 201 and 203?
Answer: LCM of 201 and 203 is 40803.
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 203?
Answer: Factors of 203 are 1, 7, 29, 203. There are 4 integers that are factors of 203. The greatest factor of 203 is 203.
4. How to Find the LCM of 201 and 203?
Answer:
Least Common Multiple of 201 and 203 = 40803
Step 1: Find the prime factorization of 201
201 = 3 x 67
Step 2: Find the prime factorization of 203
203 = 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40803 = 3 x 7 x 29 x 67
Step 4: Therefore, the least common multiple of 201 and 203 is 40803.