Least Common Multiple of 131 and 137
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 137 the smallest integer that is 17947 that is divisible by both numbers.
Least Common Multiple (LCM) of 131 and 137 is 17947.
LCM(131,137) = 17947
LCM of 131 and 137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 131 and 137 by Prime method
- Least Common Multiple of 131 and 137 with GCF Formula
LCM of 131 and 137 is 17947
Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 137. First we will calculate the prime factors of 131 and 137.
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 137
| 137 | 137 |
| 1 |
Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:
137 = 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 137.
LCM(131,137) = 1311×1371
LCM(131,137) = 17947
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1, 137
Least Common Multiple of 131 and 137 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 137, than apply into the LCM equation.
GCF(131,137) = 1
LCM(131,137) = ( 131 × 137) / 1
LCM(131,137) = 17947 / 1
LCM(131,137) = 17947
Properties of LCM 131 and 137
(i) The LCM of 137 and 131 is associative
LCM of 131 and 137 = LCM of 137 and 131
Related Least Common Multiples of 131
Related Least Common Multiples of 137
Frequently Asked Questions on LCM of 131 and 137
1. What is the LCM of 131 and 137?
Answer: LCM of 131 and 137 is 17947.
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 137?
Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.
4. How to Find the LCM of 131 and 137?
Answer:
Least Common Multiple of 131 and 137 = 17947
Step 1: Find the prime factorization of 131
131 = 131
Step 2: Find the prime factorization of 137
137 = 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17947 = 131 x 137
Step 4: Therefore, the least common multiple of 131 and 137 is 17947.