Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7788 and 7793 the smallest integer that is 60691884 that is divisible by both numbers.
Least Common Multiple (LCM) of 7788 and 7793 is 60691884.
LCM(7788,7793) = 60691884
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 7788 and 7793. First we will calculate the prime factors of 7788 and 7793.
Prime Factorization of 7788
2 | 7788 |
2 | 3894 |
3 | 1947 |
11 | 649 |
59 | 59 |
1 |
Prime factors of 7788 are 2, 3, 11,59. Prime factorization of 7788 in exponential form is:
7788 = 22×31×111×591
Prime Factorization of 7793
7793 | 7793 |
1 |
Prime factors of 7793 are 7793. Prime factorization of 7793 in exponential form is:
7793 = 77931
Now multiplying the highest exponent prime factors to calculate the LCM of 7788 and 7793.
LCM(7788,7793) = 22×31×111×591×77931
LCM(7788,7793) = 60691884
Factors of 7788
List of positive integer factors of 7788 that divides 7788 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788
Factors of 7793
List of positive integer factors of 7793 that divides 7793 without a remainder.
1, 7793
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7788 and 7793, than apply into the LCM equation.
GCF(7788,7793) = 1
LCM(7788,7793) = ( 7788 × 7793) / 1
LCM(7788,7793) = 60691884 / 1
LCM(7788,7793) = 60691884
(i) The LCM of 7793 and 7788 is associative
LCM of 7788 and 7793 = LCM of 7793 and 7788
1. What is the LCM of 7788 and 7793?
Answer: LCM of 7788 and 7793 is 60691884.
2. What are the Factors of 7788?
Answer: Factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788. There are 24 integers that are factors of 7788. The greatest factor of 7788 is 7788.
3. What are the Factors of 7793?
Answer: Factors of 7793 are 1, 7793. There are 2 integers that are factors of 7793. The greatest factor of 7793 is 7793.
4. How to Find the LCM of 7788 and 7793?
Answer:
Least Common Multiple of 7788 and 7793 = 60691884
Step 1: Find the prime factorization of 7788
7788 = 2 x 2 x 3 x 11 x 59
Step 2: Find the prime factorization of 7793
7793 = 7793
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60691884 = 2 x 2 x 3 x 11 x 59 x 7793
Step 4: Therefore, the least common multiple of 7788 and 7793 is 60691884.