Least Common Multiple of 68769 and 68773
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 68769 and 68773 the smallest integer that is 4729450437 that is divisible by both numbers.
Least Common Multiple (LCM) of 68769 and 68773 is 4729450437.
LCM(68769,68773) = 4729450437
LCM of 68769 and 68773
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 68769 and 68773 by Prime method
- Least Common Multiple of 68769 and 68773 with GCF Formula
LCM of 68769 and 68773 is 4729450437
Least common multiple can be found by multiplying the highest exponent prime factors of 68769 and 68773. First we will calculate the prime factors of 68769 and 68773.
Prime Factorization of 68769
| 3 | 68769 |
| 3 | 22923 |
| 3 | 7641 |
| 3 | 2547 |
| 3 | 849 |
| 283 | 283 |
| 1 |
Prime factors of 68769 are 3,283. Prime factorization of 68769 in exponential form is:
68769 = 35×2831
Prime Factorization of 68773
| 97 | 68773 |
| 709 | 709 |
| 1 |
Prime factors of 68773 are 97,709. Prime factorization of 68773 in exponential form is:
68773 = 971×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 68769 and 68773.
LCM(68769,68773) = 35×971×2831×7091
LCM(68769,68773) = 4729450437
Factors of 68769
List of positive integer factors of 68769 that divides 68769 without a remainder.
1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923, 68769
Factors of 68773
List of positive integer factors of 68773 that divides 68773 without a remainder.
1, 97, 709, 68773
Least Common Multiple of 68769 and 68773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68769 and 68773, than apply into the LCM equation.
GCF(68769,68773) = 1
LCM(68769,68773) = ( 68769 × 68773) / 1
LCM(68769,68773) = 4729450437 / 1
LCM(68769,68773) = 4729450437
Properties of LCM 68769 and 68773
(i) The LCM of 68773 and 68769 is associative
LCM of 68769 and 68773 = LCM of 68773 and 68769
Related Least Common Multiples of 68769
Related Least Common Multiples of 68773
Frequently Asked Questions on LCM of 68769 and 68773
1. What is the LCM of 68769 and 68773?
Answer: LCM of 68769 and 68773 is 4729450437.
2. What are the Factors of 68769?
Answer: Factors of 68769 are 1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923, 68769. There are 12 integers that are factors of 68769. The greatest factor of 68769 is 68769.
3. What are the Factors of 68773?
Answer: Factors of 68773 are 1, 97, 709, 68773. There are 4 integers that are factors of 68773. The greatest factor of 68773 is 68773.
4. How to Find the LCM of 68769 and 68773?
Answer:
Least Common Multiple of 68769 and 68773 = 4729450437
Step 1: Find the prime factorization of 68769
68769 = 3 x 3 x 3 x 3 x 3 x 283
Step 2: Find the prime factorization of 68773
68773 = 97 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4729450437 = 3 x 3 x 3 x 3 x 3 x 97 x 283 x 709
Step 4: Therefore, the least common multiple of 68769 and 68773 is 4729450437.