Least Common Multiple of 8121 and 8125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8121 and 8125 the smallest integer that is 65983125 that is divisible by both numbers.
Least Common Multiple (LCM) of 8121 and 8125 is 65983125.
LCM(8121,8125) = 65983125
LCM of 8121 and 8125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8121 and 8125 by Prime method
- Least Common Multiple of 8121 and 8125 with GCF Formula
LCM of 8121 and 8125 is 65983125
Least common multiple can be found by multiplying the highest exponent prime factors of 8121 and 8125. First we will calculate the prime factors of 8121 and 8125.
Prime Factorization of 8121
| 3 | 8121 |
| 2707 | 2707 |
| 1 |
Prime factors of 8121 are 3,2707. Prime factorization of 8121 in exponential form is:
8121 = 31×27071
Prime Factorization of 8125
| 5 | 8125 |
| 5 | 1625 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 8125 are 5,13. Prime factorization of 8125 in exponential form is:
8125 = 54×131
Now multiplying the highest exponent prime factors to calculate the LCM of 8121 and 8125.
LCM(8121,8125) = 31×54×131×27071
LCM(8121,8125) = 65983125
Factors of 8121
List of positive integer factors of 8121 that divides 8121 without a remainder.
1, 3, 2707, 8121
Factors of 8125
List of positive integer factors of 8125 that divides 8125 without a remainder.
1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
Least Common Multiple of 8121 and 8125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8121 and 8125, than apply into the LCM equation.
GCF(8121,8125) = 1
LCM(8121,8125) = ( 8121 × 8125) / 1
LCM(8121,8125) = 65983125 / 1
LCM(8121,8125) = 65983125
Properties of LCM 8121 and 8125
(i) The LCM of 8125 and 8121 is associative
LCM of 8121 and 8125 = LCM of 8125 and 8121
Related Least Common Multiples of 8121
Related Least Common Multiples of 8125
Frequently Asked Questions on LCM of 8121 and 8125
1. What is the LCM of 8121 and 8125?
Answer: LCM of 8121 and 8125 is 65983125.
2. What are the Factors of 8121?
Answer: Factors of 8121 are 1, 3, 2707, 8121. There are 4 integers that are factors of 8121. The greatest factor of 8121 is 8121.
3. What are the Factors of 8125?
Answer: Factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125. There are 10 integers that are factors of 8125. The greatest factor of 8125 is 8125.
4. How to Find the LCM of 8121 and 8125?
Answer:
Least Common Multiple of 8121 and 8125 = 65983125
Step 1: Find the prime factorization of 8121
8121 = 3 x 2707
Step 2: Find the prime factorization of 8125
8125 = 5 x 5 x 5 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65983125 = 3 x 5 x 5 x 5 x 5 x 13 x 2707
Step 4: Therefore, the least common multiple of 8121 and 8125 is 65983125.
