Least Common Multiple of 7789 and 7797
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7789 and 7797 the smallest integer that is 60730833 that is divisible by both numbers.
Least Common Multiple (LCM) of 7789 and 7797 is 60730833.
LCM(7789,7797) = 60730833
LCM of 7789 and 7797
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7789 and 7797 by Prime method
- Least Common Multiple of 7789 and 7797 with GCF Formula
LCM of 7789 and 7797 is 60730833
Least common multiple can be found by multiplying the highest exponent prime factors of 7789 and 7797. First we will calculate the prime factors of 7789 and 7797.
Prime Factorization of 7789
| 7789 | 7789 |
| 1 |
Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:
7789 = 77891
Prime Factorization of 7797
| 3 | 7797 |
| 23 | 2599 |
| 113 | 113 |
| 1 |
Prime factors of 7797 are 3, 23,113. Prime factorization of 7797 in exponential form is:
7797 = 31×231×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 7789 and 7797.
LCM(7789,7797) = 31×231×1131×77891
LCM(7789,7797) = 60730833
Factors of 7789
List of positive integer factors of 7789 that divides 7789 without a remainder.
1, 7789
Factors of 7797
List of positive integer factors of 7797 that divides 7797 without a remainder.
1, 3, 23, 69, 113, 339, 2599, 7797
Least Common Multiple of 7789 and 7797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7789 and 7797, than apply into the LCM equation.
GCF(7789,7797) = 1
LCM(7789,7797) = ( 7789 × 7797) / 1
LCM(7789,7797) = 60730833 / 1
LCM(7789,7797) = 60730833
Properties of LCM 7789 and 7797
(i) The LCM of 7797 and 7789 is associative
LCM of 7789 and 7797 = LCM of 7797 and 7789
Related Least Common Multiples of 7789
Related Least Common Multiples of 7797
Frequently Asked Questions on LCM of 7789 and 7797
1. What is the LCM of 7789 and 7797?
Answer: LCM of 7789 and 7797 is 60730833.
2. What are the Factors of 7789?
Answer: Factors of 7789 are 1, 7789. There are 2 integers that are factors of 7789. The greatest factor of 7789 is 7789.
3. What are the Factors of 7797?
Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.
4. How to Find the LCM of 7789 and 7797?
Answer:
Least Common Multiple of 7789 and 7797 = 60730833
Step 1: Find the prime factorization of 7789
7789 = 7789
Step 2: Find the prime factorization of 7797
7797 = 3 x 23 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60730833 = 3 x 23 x 113 x 7789
Step 4: Therefore, the least common multiple of 7789 and 7797 is 60730833.