Least Common Multiple of 68791 and 68797
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 68791 and 68797 the smallest integer that is 4732614427 that is divisible by both numbers.
Least Common Multiple (LCM) of 68791 and 68797 is 4732614427.
LCM(68791,68797) = 4732614427
LCM of 68791 and 68797
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 68791 and 68797 by Prime method
- Least Common Multiple of 68791 and 68797 with GCF Formula
LCM of 68791 and 68797 is 4732614427
Least common multiple can be found by multiplying the highest exponent prime factors of 68791 and 68797. First we will calculate the prime factors of 68791 and 68797.
Prime Factorization of 68791
| 68791 | 68791 |
| 1 |
Prime factors of 68791 are 68791. Prime factorization of 68791 in exponential form is:
68791 = 687911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 68791 and 68797.
LCM(68791,68797) = 891×7731×687911
LCM(68791,68797) = 4732614427
Factors of 68791
List of positive integer factors of 68791 that divides 68791 without a remainder.
1, 68791
Factors of 68797
List of positive integer factors of 68797 that divides 68797 without a remainder.
1, 89, 773, 68797
Least Common Multiple of 68791 and 68797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68791 and 68797, than apply into the LCM equation.
GCF(68791,68797) = 1
LCM(68791,68797) = ( 68791 × 68797) / 1
LCM(68791,68797) = 4732614427 / 1
LCM(68791,68797) = 4732614427
Properties of LCM 68791 and 68797
(i) The LCM of 68797 and 68791 is associative
LCM of 68791 and 68797 = LCM of 68797 and 68791
Related Least Common Multiples of 68791
Related Least Common Multiples of 68797
Frequently Asked Questions on LCM of 68791 and 68797
1. What is the LCM of 68791 and 68797?
Answer: LCM of 68791 and 68797 is 4732614427.
2. What are the Factors of 68791?
Answer: Factors of 68791 are 1, 68791. There are 2 integers that are factors of 68791. The greatest factor of 68791 is 68791.
3. 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.
4. How to Find the LCM of 68791 and 68797?
Answer:
Least Common Multiple of 68791 and 68797 = 4732614427
Step 1: Find the prime factorization of 68791
68791 = 68791
Step 2: Find the prime factorization of 68797
68797 = 89 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4732614427 = 89 x 773 x 68791
Step 4: Therefore, the least common multiple of 68791 and 68797 is 4732614427.