Least Common Multiple of 3125 and 3131
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3125 and 3131 the smallest integer that is 9784375 that is divisible by both numbers.
Least Common Multiple (LCM) of 3125 and 3131 is 9784375.
LCM(3125,3131) = 9784375
LCM of 3125 and 3131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3125 and 3131 by Prime method
- Least Common Multiple of 3125 and 3131 with GCF Formula
LCM of 3125 and 3131 is 9784375
Least common multiple can be found by multiplying the highest exponent prime factors of 3125 and 3131. First we will calculate the prime factors of 3125 and 3131.
Prime Factorization of 3125
| 5 | 3125 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:
3125 = 55
Prime Factorization of 3131
| 31 | 3131 |
| 101 | 101 |
| 1 |
Prime factors of 3131 are 31,101. Prime factorization of 3131 in exponential form is:
3131 = 311×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 3125 and 3131.
LCM(3125,3131) = 55×311×1011
LCM(3125,3131) = 9784375
Factors of 3125
List of positive integer factors of 3125 that divides 3125 without a remainder.
1, 5, 25, 125, 625, 3125
Factors of 3131
List of positive integer factors of 3131 that divides 3131 without a remainder.
1, 31, 101, 3131
Least Common Multiple of 3125 and 3131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3125 and 3131, than apply into the LCM equation.
GCF(3125,3131) = 1
LCM(3125,3131) = ( 3125 × 3131) / 1
LCM(3125,3131) = 9784375 / 1
LCM(3125,3131) = 9784375
Properties of LCM 3125 and 3131
(i) The LCM of 3131 and 3125 is associative
LCM of 3125 and 3131 = LCM of 3131 and 3125
Related Least Common Multiples of 3125
Related Least Common Multiples of 3131
Frequently Asked Questions on LCM of 3125 and 3131
1. What is the LCM of 3125 and 3131?
Answer: LCM of 3125 and 3131 is 9784375.
2. What are the Factors of 3125?
Answer: Factors of 3125 are 1, 5, 25, 125, 625, 3125. There are 6 integers that are factors of 3125. The greatest factor of 3125 is 3125.
3. What are the Factors of 3131?
Answer: Factors of 3131 are 1, 31, 101, 3131. There are 4 integers that are factors of 3131. The greatest factor of 3131 is 3131.
4. How to Find the LCM of 3125 and 3131?
Answer:
Least Common Multiple of 3125 and 3131 = 9784375
Step 1: Find the prime factorization of 3125
3125 = 5 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 3131
3131 = 31 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9784375 = 5 x 5 x 5 x 5 x 5 x 31 x 101
Step 4: Therefore, the least common multiple of 3125 and 3131 is 9784375.