Least Common Multiple of 3819 and 3827
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3819 and 3827 the smallest integer that is 14615313 that is divisible by both numbers.
Least Common Multiple (LCM) of 3819 and 3827 is 14615313.
LCM(3819,3827) = 14615313
LCM of 3819 and 3827
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3819 and 3827 by Prime method
- Least Common Multiple of 3819 and 3827 with GCF Formula
LCM of 3819 and 3827 is 14615313
Least common multiple can be found by multiplying the highest exponent prime factors of 3819 and 3827. First we will calculate the prime factors of 3819 and 3827.
Prime Factorization of 3819
| 3 | 3819 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 3819 are 3, 19,67. Prime factorization of 3819 in exponential form is:
3819 = 31×191×671
Prime Factorization of 3827
| 43 | 3827 |
| 89 | 89 |
| 1 |
Prime factors of 3827 are 43,89. Prime factorization of 3827 in exponential form is:
3827 = 431×891
Now multiplying the highest exponent prime factors to calculate the LCM of 3819 and 3827.
LCM(3819,3827) = 31×191×431×671×891
LCM(3819,3827) = 14615313
Factors of 3819
List of positive integer factors of 3819 that divides 3819 without a remainder.
1, 3, 19, 57, 67, 201, 1273, 3819
Factors of 3827
List of positive integer factors of 3827 that divides 3827 without a remainder.
1, 43, 89, 3827
Least Common Multiple of 3819 and 3827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3819 and 3827, than apply into the LCM equation.
GCF(3819,3827) = 1
LCM(3819,3827) = ( 3819 × 3827) / 1
LCM(3819,3827) = 14615313 / 1
LCM(3819,3827) = 14615313
Properties of LCM 3819 and 3827
(i) The LCM of 3827 and 3819 is associative
LCM of 3819 and 3827 = LCM of 3827 and 3819
Related Least Common Multiples of 3819
Related Least Common Multiples of 3827
Frequently Asked Questions on LCM of 3819 and 3827
1. What is the LCM of 3819 and 3827?
Answer: LCM of 3819 and 3827 is 14615313.
2. What are the Factors of 3819?
Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.
3. What are the Factors of 3827?
Answer: Factors of 3827 are 1, 43, 89, 3827. There are 4 integers that are factors of 3827. The greatest factor of 3827 is 3827.
4. How to Find the LCM of 3819 and 3827?
Answer:
Least Common Multiple of 3819 and 3827 = 14615313
Step 1: Find the prime factorization of 3819
3819 = 3 x 19 x 67
Step 2: Find the prime factorization of 3827
3827 = 43 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14615313 = 3 x 19 x 43 x 67 x 89
Step 4: Therefore, the least common multiple of 3819 and 3827 is 14615313.