Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7794 and 7796 the smallest integer that is 30381012 that is divisible by both numbers.
Least Common Multiple (LCM) of 7794 and 7796 is 30381012.
LCM(7794,7796) = 30381012
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 7794 and 7796. First we will calculate the prime factors of 7794 and 7796.
Prime Factorization of 7794
2 | 7794 |
3 | 3897 |
3 | 1299 |
433 | 433 |
1 |
Prime factors of 7794 are 2, 3,433. Prime factorization of 7794 in exponential form is:
7794 = 21×32×4331
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7794 and 7796.
LCM(7794,7796) = 22×32×4331×19491
LCM(7794,7796) = 30381012
Factors of 7794
List of positive integer factors of 7794 that divides 7794 without a remainder.
1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794
Factors of 7796
List of positive integer factors of 7796 that divides 7796 without a remainder.
1, 2, 4, 1949, 3898, 7796
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7794 and 7796, than apply into the LCM equation.
GCF(7794,7796) = 2
LCM(7794,7796) = ( 7794 × 7796) / 2
LCM(7794,7796) = 60762024 / 2
LCM(7794,7796) = 30381012
(i) The LCM of 7796 and 7794 is associative
LCM of 7794 and 7796 = LCM of 7796 and 7794
1. What is the LCM of 7794 and 7796?
Answer: LCM of 7794 and 7796 is 30381012.
2. What are the Factors of 7794?
Answer: Factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794. There are 12 integers that are factors of 7794. The greatest factor of 7794 is 7794.
3. 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.
4. How to Find the LCM of 7794 and 7796?
Answer:
Least Common Multiple of 7794 and 7796 = 30381012
Step 1: Find the prime factorization of 7794
7794 = 2 x 3 x 3 x 433
Step 2: Find the prime factorization of 7796
7796 = 2 x 2 x 1949
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30381012 = 2 x 2 x 3 x 3 x 433 x 1949
Step 4: Therefore, the least common multiple of 7794 and 7796 is 30381012.