Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3824 and 3828 the smallest integer that is 3659568 that is divisible by both numbers.
Least Common Multiple (LCM) of 3824 and 3828 is 3659568.
LCM(3824,3828) = 3659568
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 3824 and 3828. First we will calculate the prime factors of 3824 and 3828.
Prime Factorization of 3824
2 | 3824 |
2 | 1912 |
2 | 956 |
2 | 478 |
239 | 239 |
1 |
Prime factors of 3824 are 2,239. Prime factorization of 3824 in exponential form is:
3824 = 24×2391
Prime Factorization of 3828
2 | 3828 |
2 | 1914 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 3828 are 2, 3, 11,29. Prime factorization of 3828 in exponential form is:
3828 = 22×31×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3824 and 3828.
LCM(3824,3828) = 24×31×111×291×2391
LCM(3824,3828) = 3659568
Factors of 3824
List of positive integer factors of 3824 that divides 3824 without a remainder.
1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824
Factors of 3828
List of positive integer factors of 3828 that divides 3828 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3824 and 3828, than apply into the LCM equation.
GCF(3824,3828) = 4
LCM(3824,3828) = ( 3824 × 3828) / 4
LCM(3824,3828) = 14638272 / 4
LCM(3824,3828) = 3659568
(i) The LCM of 3828 and 3824 is associative
LCM of 3824 and 3828 = LCM of 3828 and 3824
1. What is the LCM of 3824 and 3828?
Answer: LCM of 3824 and 3828 is 3659568.
2. What are the Factors of 3824?
Answer: Factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824. There are 10 integers that are factors of 3824. The greatest factor of 3824 is 3824.
3. What are the Factors of 3828?
Answer: Factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828. There are 24 integers that are factors of 3828. The greatest factor of 3828 is 3828.
4. How to Find the LCM of 3824 and 3828?
Answer:
Least Common Multiple of 3824 and 3828 = 3659568
Step 1: Find the prime factorization of 3824
3824 = 2 x 2 x 2 x 2 x 239
Step 2: Find the prime factorization of 3828
3828 = 2 x 2 x 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3659568 = 2 x 2 x 2 x 2 x 3 x 11 x 29 x 239
Step 4: Therefore, the least common multiple of 3824 and 3828 is 3659568.