Least Common Multiple of 196 and 201
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 196 and 201 the smallest integer that is 39396 that is divisible by both numbers.
Least Common Multiple (LCM) of 196 and 201 is 39396.
LCM(196,201) = 39396
LCM of 196 and 201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 196 and 201 by Prime method
- Least Common Multiple of 196 and 201 with GCF Formula
LCM of 196 and 201 is 39396
Least common multiple can be found by multiplying the highest exponent prime factors of 196 and 201. First we will calculate the prime factors of 196 and 201.
Prime Factorization of 196
| 2 | 196 |
| 2 | 98 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:
196 = 22×72
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
Now multiplying the highest exponent prime factors to calculate the LCM of 196 and 201.
LCM(196,201) = 22×31×72×671
LCM(196,201) = 39396
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Least Common Multiple of 196 and 201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 196 and 201, than apply into the LCM equation.
GCF(196,201) = 1
LCM(196,201) = ( 196 × 201) / 1
LCM(196,201) = 39396 / 1
LCM(196,201) = 39396
Properties of LCM 196 and 201
(i) The LCM of 201 and 196 is associative
LCM of 196 and 201 = LCM of 201 and 196
Related Least Common Multiples of 196
Related Least Common Multiples of 201
Frequently Asked Questions on LCM of 196 and 201
1. What is the LCM of 196 and 201?
Answer: LCM of 196 and 201 is 39396.
2. What are the Factors of 196?
Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.
3. 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.
4. How to Find the LCM of 196 and 201?
Answer:
Least Common Multiple of 196 and 201 = 39396
Step 1: Find the prime factorization of 196
196 = 2 x 2 x 7 x 7
Step 2: Find the prime factorization of 201
201 = 3 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39396 = 2 x 2 x 3 x 7 x 7 x 67
Step 4: Therefore, the least common multiple of 196 and 201 is 39396.