Least Common Multiple of 125 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 125 and 131 the smallest integer that is 16375 that is divisible by both numbers.
Least Common Multiple (LCM) of 125 and 131 is 16375.
LCM(125,131) = 16375
LCM of 125 and 131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 125 and 131 by Prime method
- Least Common Multiple of 125 and 131 with GCF Formula
LCM of 125 and 131 is 16375
Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 131. First we will calculate the prime factors of 125 and 131.
Prime Factorization of 125
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:
125 = 53
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 125 and 131.
LCM(125,131) = 53×1311
LCM(125,131) = 16375
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1, 131
Least Common Multiple of 125 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 125 and 131, than apply into the LCM equation.
GCF(125,131) = 1
LCM(125,131) = ( 125 × 131) / 1
LCM(125,131) = 16375 / 1
LCM(125,131) = 16375
Properties of LCM 125 and 131
(i) The LCM of 131 and 125 is associative
LCM of 125 and 131 = LCM of 131 and 125
Related Least Common Multiples of 125
Related Least Common Multiples of 131
Frequently Asked Questions on LCM of 125 and 131
1. What is the LCM of 125 and 131?
Answer: LCM of 125 and 131 is 16375.
2. What are the Factors of 125?
Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.
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 125 and 131?
Answer:
Least Common Multiple of 125 and 131 = 16375
Step 1: Find the prime factorization of 125
125 = 5 x 5 x 5
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 = 16375 = 5 x 5 x 5 x 131
Step 4: Therefore, the least common multiple of 125 and 131 is 16375.
