Least Common Multiple of 68797 and 68805
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 68797 and 68805 the smallest integer that is 4733577585 that is divisible by both numbers.
Least Common Multiple (LCM) of 68797 and 68805 is 4733577585.
LCM(68797,68805) = 4733577585
LCM of 68797 and 68805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 68797 and 68805 by Prime method
- Least Common Multiple of 68797 and 68805 with GCF Formula
LCM of 68797 and 68805 is 4733577585
Least common multiple can be found by multiplying the highest exponent prime factors of 68797 and 68805. First we will calculate the prime factors of 68797 and 68805.
Prime Factorization of 68797
| 89 | 68797 |
| 773 | 773 |
| 1 |
Prime factors of 68797 are 89,773. Prime factorization of 68797 in exponential form is:
68797 = 891×7731
Prime Factorization of 68805
| 3 | 68805 |
| 3 | 22935 |
| 5 | 7645 |
| 11 | 1529 |
| 139 | 139 |
| 1 |
Prime factors of 68805 are 3, 5, 11,139. Prime factorization of 68805 in exponential form is:
68805 = 32×51×111×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 68797 and 68805.
LCM(68797,68805) = 32×51×111×891×1391×7731
LCM(68797,68805) = 4733577585
Factors of 68797
List of positive integer factors of 68797 that divides 68797 without a remainder.
1, 89, 773, 68797
Factors of 68805
List of positive integer factors of 68805 that divides 68805 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935, 68805
Least Common Multiple of 68797 and 68805 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68797 and 68805, than apply into the LCM equation.
GCF(68797,68805) = 1
LCM(68797,68805) = ( 68797 × 68805) / 1
LCM(68797,68805) = 4733577585 / 1
LCM(68797,68805) = 4733577585
Properties of LCM 68797 and 68805
(i) The LCM of 68805 and 68797 is associative
LCM of 68797 and 68805 = LCM of 68805 and 68797
Related Least Common Multiples of 68797
Related Least Common Multiples of 68805
Frequently Asked Questions on LCM of 68797 and 68805
1. What is the LCM of 68797 and 68805?
Answer: LCM of 68797 and 68805 is 4733577585.
2. What are the Factors of 68797?
Answer: Factors of 68797 are 1, 89, 773, 68797. There are 4 integers that are factors of 68797. The greatest factor of 68797 is 68797.
3. What are the Factors of 68805?
Answer: Factors of 68805 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935, 68805. There are 24 integers that are factors of 68805. The greatest factor of 68805 is 68805.
4. How to Find the LCM of 68797 and 68805?
Answer:
Least Common Multiple of 68797 and 68805 = 4733577585
Step 1: Find the prime factorization of 68797
68797 = 89 x 773
Step 2: Find the prime factorization of 68805
68805 = 3 x 3 x 5 x 11 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4733577585 = 3 x 3 x 5 x 11 x 89 x 139 x 773
Step 4: Therefore, the least common multiple of 68797 and 68805 is 4733577585.