Least Common Multiple of 3813 and 3821
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3813 and 3821 the smallest integer that is 14569473 that is divisible by both numbers.
Least Common Multiple (LCM) of 3813 and 3821 is 14569473.
LCM(3813,3821) = 14569473
LCM of 3813 and 3821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3813 and 3821 by Prime method
- Least Common Multiple of 3813 and 3821 with GCF Formula
LCM of 3813 and 3821 is 14569473
Least common multiple can be found by multiplying the highest exponent prime factors of 3813 and 3821. First we will calculate the prime factors of 3813 and 3821.
Prime Factorization of 3813
| 3 | 3813 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 3813 are 3, 31,41. Prime factorization of 3813 in exponential form is:
3813 = 31×311×411
Prime Factorization of 3821
| 3821 | 3821 |
| 1 |
Prime factors of 3821 are 3821. Prime factorization of 3821 in exponential form is:
3821 = 38211
Now multiplying the highest exponent prime factors to calculate the LCM of 3813 and 3821.
LCM(3813,3821) = 31×311×411×38211
LCM(3813,3821) = 14569473
Factors of 3813
List of positive integer factors of 3813 that divides 3813 without a remainder.
1, 3, 31, 41, 93, 123, 1271, 3813
Factors of 3821
List of positive integer factors of 3821 that divides 3821 without a remainder.
1, 3821
Least Common Multiple of 3813 and 3821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3813 and 3821, than apply into the LCM equation.
GCF(3813,3821) = 1
LCM(3813,3821) = ( 3813 × 3821) / 1
LCM(3813,3821) = 14569473 / 1
LCM(3813,3821) = 14569473
Properties of LCM 3813 and 3821
(i) The LCM of 3821 and 3813 is associative
LCM of 3813 and 3821 = LCM of 3821 and 3813
Related Least Common Multiples of 3813
Related Least Common Multiples of 3821
Frequently Asked Questions on LCM of 3813 and 3821
1. What is the LCM of 3813 and 3821?
Answer: LCM of 3813 and 3821 is 14569473.
2. What are the Factors of 3813?
Answer: Factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813. There are 8 integers that are factors of 3813. The greatest factor of 3813 is 3813.
3. What are the Factors of 3821?
Answer: Factors of 3821 are 1, 3821. There are 2 integers that are factors of 3821. The greatest factor of 3821 is 3821.
4. How to Find the LCM of 3813 and 3821?
Answer:
Least Common Multiple of 3813 and 3821 = 14569473
Step 1: Find the prime factorization of 3813
3813 = 3 x 31 x 41
Step 2: Find the prime factorization of 3821
3821 = 3821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14569473 = 3 x 31 x 41 x 3821
Step 4: Therefore, the least common multiple of 3813 and 3821 is 14569473.