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 7802 the smallest integer that is 60832194 that is divisible by both numbers.
Least Common Multiple (LCM) of 7797 and 7802 is 60832194.
LCM(7797,7802) = 60832194
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 7802. First we will calculate the prime factors of 7797 and 7802.
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 7802
2 | 7802 |
47 | 3901 |
83 | 83 |
1 |
Prime factors of 7802 are 2, 47,83. Prime factorization of 7802 in exponential form is:
7802 = 21×471×831
Now multiplying the highest exponent prime factors to calculate the LCM of 7797 and 7802.
LCM(7797,7802) = 21×31×231×471×831×1131
LCM(7797,7802) = 60832194
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 7802
List of positive integer factors of 7802 that divides 7802 without a remainder.
1, 2, 47, 83, 94, 166, 3901, 7802
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7797 and 7802, than apply into the LCM equation.
GCF(7797,7802) = 1
LCM(7797,7802) = ( 7797 × 7802) / 1
LCM(7797,7802) = 60832194 / 1
LCM(7797,7802) = 60832194
(i) The LCM of 7802 and 7797 is associative
LCM of 7797 and 7802 = LCM of 7802 and 7797
1. What is the LCM of 7797 and 7802?
Answer: LCM of 7797 and 7802 is 60832194.
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 7802?
Answer: Factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802. There are 8 integers that are factors of 7802. The greatest factor of 7802 is 7802.
4. How to Find the LCM of 7797 and 7802?
Answer:
Least Common Multiple of 7797 and 7802 = 60832194
Step 1: Find the prime factorization of 7797
7797 = 3 x 23 x 113
Step 2: Find the prime factorization of 7802
7802 = 2 x 47 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60832194 = 2 x 3 x 23 x 47 x 83 x 113
Step 4: Therefore, the least common multiple of 7797 and 7802 is 60832194.