Least Common Multiple of 3794 and 3801
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3794 and 3801 the smallest integer that is 2060142 that is divisible by both numbers.
Least Common Multiple (LCM) of 3794 and 3801 is 2060142.
LCM(3794,3801) = 2060142
LCM of 3794 and 3801
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3794 and 3801 by Prime method
- Least Common Multiple of 3794 and 3801 with GCF Formula
LCM of 3794 and 3801 is 2060142
Least common multiple can be found by multiplying the highest exponent prime factors of 3794 and 3801. First we will calculate the prime factors of 3794 and 3801.
Prime Factorization of 3794
| 2 | 3794 |
| 7 | 1897 |
| 271 | 271 |
| 1 |
Prime factors of 3794 are 2, 7,271. Prime factorization of 3794 in exponential form is:
3794 = 21×71×2711
Prime Factorization of 3801
| 3 | 3801 |
| 7 | 1267 |
| 181 | 181 |
| 1 |
Prime factors of 3801 are 3, 7,181. Prime factorization of 3801 in exponential form is:
3801 = 31×71×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 3794 and 3801.
LCM(3794,3801) = 21×31×71×1811×2711
LCM(3794,3801) = 2060142
Factors of 3794
List of positive integer factors of 3794 that divides 3794 without a remainder.
1, 2, 7, 14, 271, 542, 1897, 3794
Factors of 3801
List of positive integer factors of 3801 that divides 3801 without a remainder.
1, 3, 7, 21, 181, 543, 1267, 3801
Least Common Multiple of 3794 and 3801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3794 and 3801, than apply into the LCM equation.
GCF(3794,3801) = 7
LCM(3794,3801) = ( 3794 × 3801) / 7
LCM(3794,3801) = 14420994 / 7
LCM(3794,3801) = 2060142
Properties of LCM 3794 and 3801
(i) The LCM of 3801 and 3794 is associative
LCM of 3794 and 3801 = LCM of 3801 and 3794
Related Least Common Multiples of 3794
Related Least Common Multiples of 3801
Frequently Asked Questions on LCM of 3794 and 3801
1. What is the LCM of 3794 and 3801?
Answer: LCM of 3794 and 3801 is 2060142.
2. What are the Factors of 3794?
Answer: Factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794. There are 8 integers that are factors of 3794. The greatest factor of 3794 is 3794.
3. What are the Factors of 3801?
Answer: Factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801. There are 8 integers that are factors of 3801. The greatest factor of 3801 is 3801.
4. How to Find the LCM of 3794 and 3801?
Answer:
Least Common Multiple of 3794 and 3801 = 2060142
Step 1: Find the prime factorization of 3794
3794 = 2 x 7 x 271
Step 2: Find the prime factorization of 3801
3801 = 3 x 7 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2060142 = 2 x 3 x 7 x 181 x 271
Step 4: Therefore, the least common multiple of 3794 and 3801 is 2060142.