Least Common Multiple of 131 and 134
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 134 the smallest integer that is 17554 that is divisible by both numbers.
Least Common Multiple (LCM) of 131 and 134 is 17554.
LCM(131,134) = 17554
LCM of 131 and 134
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 131 and 134 by Prime method
- Least Common Multiple of 131 and 134 with GCF Formula
LCM of 131 and 134 is 17554
Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 134. First we will calculate the prime factors of 131 and 134.
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 134
| 2 | 134 |
| 67 | 67 |
| 1 |
Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:
134 = 21×671
Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 134.
LCM(131,134) = 21×671×1311
LCM(131,134) = 17554
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Least Common Multiple of 131 and 134 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 134, than apply into the LCM equation.
GCF(131,134) = 1
LCM(131,134) = ( 131 × 134) / 1
LCM(131,134) = 17554 / 1
LCM(131,134) = 17554
Properties of LCM 131 and 134
(i) The LCM of 134 and 131 is associative
LCM of 131 and 134 = LCM of 134 and 131
Related Least Common Multiples of 131
Related Least Common Multiples of 134
Frequently Asked Questions on LCM of 131 and 134
1. What is the LCM of 131 and 134?
Answer: LCM of 131 and 134 is 17554.
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 134?
Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.
4. How to Find the LCM of 131 and 134?
Answer:
Least Common Multiple of 131 and 134 = 17554
Step 1: Find the prime factorization of 131
131 = 131
Step 2: Find the prime factorization of 134
134 = 2 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 = 17554 = 2 x 67 x 131
Step 4: Therefore, the least common multiple of 131 and 134 is 17554.
