Least Common Multiple of 126 and 131
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 126 and 131 the smallest integer that is 16506 that is divisible by both numbers.
Least Common Multiple (LCM) of 126 and 131 is 16506.
LCM(126,131) = 16506
LCM of 126 and 131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 126 and 131 by Prime method
- Least Common Multiple of 126 and 131 with GCF Formula
LCM of 126 and 131 is 16506
Least common multiple can be found by multiplying the highest exponent prime factors of 126 and 131. First we will calculate the prime factors of 126 and 131.
Prime Factorization of 126
| 2 | 126 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 126 are 2, 3,7. Prime factorization of 126 in exponential form is:
126 = 21×32×71
Prime Factorization of 131
| 131 | 131 |
| 1 |
Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:
131 = 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 126 and 131.
LCM(126,131) = 21×32×71×1311
LCM(126,131) = 16506
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Least Common Multiple of 126 and 131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 126 and 131, than apply into the LCM equation.
GCF(126,131) = 1
LCM(126,131) = ( 126 × 131) / 1
LCM(126,131) = 16506 / 1
LCM(126,131) = 16506
Properties of LCM 126 and 131
(i) The LCM of 131 and 126 is associative
LCM of 126 and 131 = LCM of 131 and 126
Related Least Common Multiples of 126
Related Least Common Multiples of 131
Frequently Asked Questions on LCM of 126 and 131
1. What is the LCM of 126 and 131?
Answer: LCM of 126 and 131 is 16506.
2. What are the Factors of 126?
Answer: Factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. There are 12 integers that are factors of 126. The greatest factor of 126 is 126.
3. 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.
4. How to Find the LCM of 126 and 131?
Answer:
Least Common Multiple of 126 and 131 = 16506
Step 1: Find the prime factorization of 126
126 = 2 x 3 x 3 x 7
Step 2: Find the prime factorization of 131
131 = 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16506 = 2 x 3 x 3 x 7 x 131
Step 4: Therefore, the least common multiple of 126 and 131 is 16506.
