Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7797 and 7801 the smallest integer that is 60824397 that is divisible by both numbers.
Least Common Multiple (LCM) of 7797 and 7801 is 60824397.
LCM(7797,7801) = 60824397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7797 and 7801. First we will calculate the prime factors of 7797 and 7801.
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
Prime Factorization of 7801
29 | 7801 |
269 | 269 |
1 |
Prime factors of 7801 are 29,269. Prime factorization of 7801 in exponential form is:
7801 = 291×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 7797 and 7801.
LCM(7797,7801) = 31×231×291×1131×2691
LCM(7797,7801) = 60824397
Factors of 7797
List of positive integer factors of 7797 that divides 7797 without a remainder.
1, 3, 23, 69, 113, 339, 2599, 7797
Factors of 7801
List of positive integer factors of 7801 that divides 7801 without a remainder.
1, 29, 269, 7801
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7797 and 7801, than apply into the LCM equation.
GCF(7797,7801) = 1
LCM(7797,7801) = ( 7797 × 7801) / 1
LCM(7797,7801) = 60824397 / 1
LCM(7797,7801) = 60824397
(i) The LCM of 7801 and 7797 is associative
LCM of 7797 and 7801 = LCM of 7801 and 7797
1. What is the LCM of 7797 and 7801?
Answer: LCM of 7797 and 7801 is 60824397.
2. 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.
3. What are the Factors of 7801?
Answer: Factors of 7801 are 1, 29, 269, 7801. There are 4 integers that are factors of 7801. The greatest factor of 7801 is 7801.
4. How to Find the LCM of 7797 and 7801?
Answer:
Least Common Multiple of 7797 and 7801 = 60824397
Step 1: Find the prime factorization of 7797
7797 = 3 x 23 x 113
Step 2: Find the prime factorization of 7801
7801 = 29 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60824397 = 3 x 23 x 29 x 113 x 269
Step 4: Therefore, the least common multiple of 7797 and 7801 is 60824397.