Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7796 and 7803 the smallest integer that is 60832188 that is divisible by both numbers.
Least Common Multiple (LCM) of 7796 and 7803 is 60832188.
LCM(7796,7803) = 60832188
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 7796 and 7803. First we will calculate the prime factors of 7796 and 7803.
Prime Factorization of 7796
2 | 7796 |
2 | 3898 |
1949 | 1949 |
1 |
Prime factors of 7796 are 2,1949. Prime factorization of 7796 in exponential form is:
7796 = 22×19491
Prime Factorization of 7803
3 | 7803 |
3 | 2601 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 7803 are 3,17. Prime factorization of 7803 in exponential form is:
7803 = 33×172
Now multiplying the highest exponent prime factors to calculate the LCM of 7796 and 7803.
LCM(7796,7803) = 22×33×172×19491
LCM(7796,7803) = 60832188
Factors of 7796
List of positive integer factors of 7796 that divides 7796 without a remainder.
1, 2, 4, 1949, 3898, 7796
Factors of 7803
List of positive integer factors of 7803 that divides 7803 without a remainder.
1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7796 and 7803, than apply into the LCM equation.
GCF(7796,7803) = 1
LCM(7796,7803) = ( 7796 × 7803) / 1
LCM(7796,7803) = 60832188 / 1
LCM(7796,7803) = 60832188
(i) The LCM of 7803 and 7796 is associative
LCM of 7796 and 7803 = LCM of 7803 and 7796
1. What is the LCM of 7796 and 7803?
Answer: LCM of 7796 and 7803 is 60832188.
2. What are the Factors of 7796?
Answer: Factors of 7796 are 1, 2, 4, 1949, 3898, 7796. There are 6 integers that are factors of 7796. The greatest factor of 7796 is 7796.
3. What are the Factors of 7803?
Answer: Factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803. There are 12 integers that are factors of 7803. The greatest factor of 7803 is 7803.
4. How to Find the LCM of 7796 and 7803?
Answer:
Least Common Multiple of 7796 and 7803 = 60832188
Step 1: Find the prime factorization of 7796
7796 = 2 x 2 x 1949
Step 2: Find the prime factorization of 7803
7803 = 3 x 3 x 3 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60832188 = 2 x 2 x 3 x 3 x 3 x 17 x 17 x 1949
Step 4: Therefore, the least common multiple of 7796 and 7803 is 60832188.