Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7795 and 7803 the smallest integer that is 60824385 that is divisible by both numbers.
Least Common Multiple (LCM) of 7795 and 7803 is 60824385.
LCM(7795,7803) = 60824385
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 7795 and 7803. First we will calculate the prime factors of 7795 and 7803.
Prime Factorization of 7795
5 | 7795 |
1559 | 1559 |
1 |
Prime factors of 7795 are 5,1559. Prime factorization of 7795 in exponential form is:
7795 = 51×15591
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 7795 and 7803.
LCM(7795,7803) = 33×51×172×15591
LCM(7795,7803) = 60824385
Factors of 7795
List of positive integer factors of 7795 that divides 7795 without a remainder.
1, 5, 1559, 7795
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 7795 and 7803, than apply into the LCM equation.
GCF(7795,7803) = 1
LCM(7795,7803) = ( 7795 × 7803) / 1
LCM(7795,7803) = 60824385 / 1
LCM(7795,7803) = 60824385
(i) The LCM of 7803 and 7795 is associative
LCM of 7795 and 7803 = LCM of 7803 and 7795
1. What is the LCM of 7795 and 7803?
Answer: LCM of 7795 and 7803 is 60824385.
2. What are the Factors of 7795?
Answer: Factors of 7795 are 1, 5, 1559, 7795. There are 4 integers that are factors of 7795. The greatest factor of 7795 is 7795.
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 7795 and 7803?
Answer:
Least Common Multiple of 7795 and 7803 = 60824385
Step 1: Find the prime factorization of 7795
7795 = 5 x 1559
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 = 60824385 = 3 x 3 x 3 x 5 x 17 x 17 x 1559
Step 4: Therefore, the least common multiple of 7795 and 7803 is 60824385.