Least Common Multiple of 8122 and 8129
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8122 and 8129 the smallest integer that is 66023738 that is divisible by both numbers.
Least Common Multiple (LCM) of 8122 and 8129 is 66023738.
LCM(8122,8129) = 66023738
LCM of 8122 and 8129
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8122 and 8129 by Prime method
- Least Common Multiple of 8122 and 8129 with GCF Formula
LCM of 8122 and 8129 is 66023738
Least common multiple can be found by multiplying the highest exponent prime factors of 8122 and 8129. First we will calculate the prime factors of 8122 and 8129.
Prime Factorization of 8122
| 2 | 8122 |
| 31 | 4061 |
| 131 | 131 |
| 1 |
Prime factors of 8122 are 2, 31,131. Prime factorization of 8122 in exponential form is:
8122 = 21×311×1311
Prime Factorization of 8129
| 11 | 8129 |
| 739 | 739 |
| 1 |
Prime factors of 8129 are 11,739. Prime factorization of 8129 in exponential form is:
8129 = 111×7391
Now multiplying the highest exponent prime factors to calculate the LCM of 8122 and 8129.
LCM(8122,8129) = 21×111×311×1311×7391
LCM(8122,8129) = 66023738
Factors of 8122
List of positive integer factors of 8122 that divides 8122 without a remainder.
1, 2, 31, 62, 131, 262, 4061, 8122
Factors of 8129
List of positive integer factors of 8129 that divides 8129 without a remainder.
1, 11, 739, 8129
Least Common Multiple of 8122 and 8129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8122 and 8129, than apply into the LCM equation.
GCF(8122,8129) = 1
LCM(8122,8129) = ( 8122 × 8129) / 1
LCM(8122,8129) = 66023738 / 1
LCM(8122,8129) = 66023738
Properties of LCM 8122 and 8129
(i) The LCM of 8129 and 8122 is associative
LCM of 8122 and 8129 = LCM of 8129 and 8122
Related Least Common Multiples of 8122
Related Least Common Multiples of 8129
Frequently Asked Questions on LCM of 8122 and 8129
1. What is the LCM of 8122 and 8129?
Answer: LCM of 8122 and 8129 is 66023738.
2. What are the Factors of 8122?
Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.
3. What are the Factors of 8129?
Answer: Factors of 8129 are 1, 11, 739, 8129. There are 4 integers that are factors of 8129. The greatest factor of 8129 is 8129.
4. How to Find the LCM of 8122 and 8129?
Answer:
Least Common Multiple of 8122 and 8129 = 66023738
Step 1: Find the prime factorization of 8122
8122 = 2 x 31 x 131
Step 2: Find the prime factorization of 8129
8129 = 11 x 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66023738 = 2 x 11 x 31 x 131 x 739
Step 4: Therefore, the least common multiple of 8122 and 8129 is 66023738.