Least Common Multiple of 3125 and 3127
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 3127 the smallest integer that is 9771875 that is divisible by both numbers.
Least Common Multiple (LCM) of 3125 and 3127 is 9771875.
LCM(3125,3127) = 9771875
LCM of 3125 and 3127
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3125 and 3127 by Prime method
- Least Common Multiple of 3125 and 3127 with GCF Formula
LCM of 3125 and 3127 is 9771875
Least common multiple can be found by multiplying the highest exponent prime factors of 3125 and 3127. First we will calculate the prime factors of 3125 and 3127.
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 3127
| 53 | 3127 |
| 59 | 59 |
| 1 |
Prime factors of 3127 are 53,59. Prime factorization of 3127 in exponential form is:
3127 = 531×591
Now multiplying the highest exponent prime factors to calculate the LCM of 3125 and 3127.
LCM(3125,3127) = 55×531×591
LCM(3125,3127) = 9771875
Factors of 3125
List of positive integer factors of 3125 that divides 3125 without a remainder.
1, 5, 25, 125, 625, 3125
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1, 53, 59, 3127
Least Common Multiple of 3125 and 3127 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 3127, than apply into the LCM equation.
GCF(3125,3127) = 1
LCM(3125,3127) = ( 3125 × 3127) / 1
LCM(3125,3127) = 9771875 / 1
LCM(3125,3127) = 9771875
Properties of LCM 3125 and 3127
(i) The LCM of 3127 and 3125 is associative
LCM of 3125 and 3127 = LCM of 3127 and 3125
Related Least Common Multiples of 3125
Related Least Common Multiples of 3127
Frequently Asked Questions on LCM of 3125 and 3127
1. What is the LCM of 3125 and 3127?
Answer: LCM of 3125 and 3127 is 9771875.
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 3127?
Answer: Factors of 3127 are 1, 53, 59, 3127. There are 4 integers that are factors of 3127. The greatest factor of 3127 is 3127.
4. How to Find the LCM of 3125 and 3127?
Answer:
Least Common Multiple of 3125 and 3127 = 9771875
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 3127
3127 = 53 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9771875 = 5 x 5 x 5 x 5 x 5 x 53 x 59
Step 4: Therefore, the least common multiple of 3125 and 3127 is 9771875.