Least Common Multiple of 68797 and 68801
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 68801 the smallest integer that is 4733302397 that is divisible by both numbers.
Least Common Multiple (LCM) of 68797 and 68801 is 4733302397.
LCM(68797,68801) = 4733302397
LCM of 68797 and 68801
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 68797 and 68801 by Prime method
- Least Common Multiple of 68797 and 68801 with GCF Formula
LCM of 68797 and 68801 is 4733302397
Least common multiple can be found by multiplying the highest exponent prime factors of 68797 and 68801. First we will calculate the prime factors of 68797 and 68801.
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 68801
| 107 | 68801 |
| 643 | 643 |
| 1 |
Prime factors of 68801 are 107,643. Prime factorization of 68801 in exponential form is:
68801 = 1071×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 68797 and 68801.
LCM(68797,68801) = 891×1071×6431×7731
LCM(68797,68801) = 4733302397
Factors of 68797
List of positive integer factors of 68797 that divides 68797 without a remainder.
1, 89, 773, 68797
Factors of 68801
List of positive integer factors of 68801 that divides 68801 without a remainder.
1, 107, 643, 68801
Least Common Multiple of 68797 and 68801 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 68801, than apply into the LCM equation.
GCF(68797,68801) = 1
LCM(68797,68801) = ( 68797 × 68801) / 1
LCM(68797,68801) = 4733302397 / 1
LCM(68797,68801) = 4733302397
Properties of LCM 68797 and 68801
(i) The LCM of 68801 and 68797 is associative
LCM of 68797 and 68801 = LCM of 68801 and 68797
Related Least Common Multiples of 68797
Related Least Common Multiples of 68801
Frequently Asked Questions on LCM of 68797 and 68801
1. What is the LCM of 68797 and 68801?
Answer: LCM of 68797 and 68801 is 4733302397.
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 68801?
Answer: Factors of 68801 are 1, 107, 643, 68801. There are 4 integers that are factors of 68801. The greatest factor of 68801 is 68801.
4. How to Find the LCM of 68797 and 68801?
Answer:
Least Common Multiple of 68797 and 68801 = 4733302397
Step 1: Find the prime factorization of 68797
68797 = 89 x 773
Step 2: Find the prime factorization of 68801
68801 = 107 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4733302397 = 89 x 107 x 643 x 773
Step 4: Therefore, the least common multiple of 68797 and 68801 is 4733302397.