Least Common Multiple of 131 and 133
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 131 and 133 the smallest integer that is 17423 that is divisible by both numbers.
Least Common Multiple (LCM) of 131 and 133 is 17423.
LCM(131,133) = 17423
LCM of 131 and 133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 131 and 133 by Prime method
- Least Common Multiple of 131 and 133 with GCF Formula
LCM of 131 and 133 is 17423
Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 133. First we will calculate the prime factors of 131 and 133.
Prime Factorization of 131
| 131 | 131 |
| 1 |
Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:
131 = 1311
Prime Factorization of 133
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:
133 = 71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 133.
LCM(131,133) = 71×191×1311
LCM(131,133) = 17423
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Least Common Multiple of 131 and 133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 131 and 133, than apply into the LCM equation.
GCF(131,133) = 1
LCM(131,133) = ( 131 × 133) / 1
LCM(131,133) = 17423 / 1
LCM(131,133) = 17423
Properties of LCM 131 and 133
(i) The LCM of 133 and 131 is associative
LCM of 131 and 133 = LCM of 133 and 131
Related Least Common Multiples of 131
Related Least Common Multiples of 133
Frequently Asked Questions on LCM of 131 and 133
1. What is the LCM of 131 and 133?
Answer: LCM of 131 and 133 is 17423.
2. What are the Factors of 131?
Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.
3. What are the Factors of 133?
Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.
4. How to Find the LCM of 131 and 133?
Answer:
Least Common Multiple of 131 and 133 = 17423
Step 1: Find the prime factorization of 131
131 = 131
Step 2: Find the prime factorization of 133
133 = 7 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 = 17423 = 7 x 19 x 131
Step 4: Therefore, the least common multiple of 131 and 133 is 17423.
