Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3797 and 3804 the smallest integer that is 14443788 that is divisible by both numbers.
Least Common Multiple (LCM) of 3797 and 3804 is 14443788.
LCM(3797,3804) = 14443788
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 3797 and 3804. First we will calculate the prime factors of 3797 and 3804.
Prime Factorization of 3797
3797 | 3797 |
1 |
Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:
3797 = 37971
Prime Factorization of 3804
2 | 3804 |
2 | 1902 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 3804 are 2, 3,317. Prime factorization of 3804 in exponential form is:
3804 = 22×31×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 3797 and 3804.
LCM(3797,3804) = 22×31×3171×37971
LCM(3797,3804) = 14443788
Factors of 3797
List of positive integer factors of 3797 that divides 3797 without a remainder.
1, 3797
Factors of 3804
List of positive integer factors of 3804 that divides 3804 without a remainder.
1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3797 and 3804, than apply into the LCM equation.
GCF(3797,3804) = 1
LCM(3797,3804) = ( 3797 × 3804) / 1
LCM(3797,3804) = 14443788 / 1
LCM(3797,3804) = 14443788
(i) The LCM of 3804 and 3797 is associative
LCM of 3797 and 3804 = LCM of 3804 and 3797
1. What is the LCM of 3797 and 3804?
Answer: LCM of 3797 and 3804 is 14443788.
2. What are the Factors of 3797?
Answer: Factors of 3797 are 1, 3797. There are 2 integers that are factors of 3797. The greatest factor of 3797 is 3797.
3. What are the Factors of 3804?
Answer: Factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804. There are 12 integers that are factors of 3804. The greatest factor of 3804 is 3804.
4. How to Find the LCM of 3797 and 3804?
Answer:
Least Common Multiple of 3797 and 3804 = 14443788
Step 1: Find the prime factorization of 3797
3797 = 3797
Step 2: Find the prime factorization of 3804
3804 = 2 x 2 x 3 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14443788 = 2 x 2 x 3 x 317 x 3797
Step 4: Therefore, the least common multiple of 3797 and 3804 is 14443788.