Least Common Multiple of 131 and 138
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 138 the smallest integer that is 18078 that is divisible by both numbers.
Least Common Multiple (LCM) of 131 and 138 is 18078.
LCM(131,138) = 18078
LCM of 131 and 138
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 131 and 138 by Prime method
- Least Common Multiple of 131 and 138 with GCF Formula
LCM of 131 and 138 is 18078
Least common multiple can be found by multiplying the highest exponent prime factors of 131 and 138. First we will calculate the prime factors of 131 and 138.
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 138
| 2 | 138 |
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 138 are 2, 3,23. Prime factorization of 138 in exponential form is:
138 = 21×31×231
Now multiplying the highest exponent prime factors to calculate the LCM of 131 and 138.
LCM(131,138) = 21×31×231×1311
LCM(131,138) = 18078
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Least Common Multiple of 131 and 138 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 138, than apply into the LCM equation.
GCF(131,138) = 1
LCM(131,138) = ( 131 × 138) / 1
LCM(131,138) = 18078 / 1
LCM(131,138) = 18078
Properties of LCM 131 and 138
(i) The LCM of 138 and 131 is associative
LCM of 131 and 138 = LCM of 138 and 131
Related Least Common Multiples of 131
Related Least Common Multiples of 138
Frequently Asked Questions on LCM of 131 and 138
1. What is the LCM of 131 and 138?
Answer: LCM of 131 and 138 is 18078.
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 138?
Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.
4. How to Find the LCM of 131 and 138?
Answer:
Least Common Multiple of 131 and 138 = 18078
Step 1: Find the prime factorization of 131
131 = 131
Step 2: Find the prime factorization of 138
138 = 2 x 3 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18078 = 2 x 3 x 23 x 131
Step 4: Therefore, the least common multiple of 131 and 138 is 18078.
