Least Common Multiple of 3827 and 3835
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3827 and 3835 the smallest integer that is 14676545 that is divisible by both numbers.
Least Common Multiple (LCM) of 3827 and 3835 is 14676545.
LCM(3827,3835) = 14676545
LCM of 3827 and 3835
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3827 and 3835 by Prime method
- Least Common Multiple of 3827 and 3835 with GCF Formula
LCM of 3827 and 3835 is 14676545
Least common multiple can be found by multiplying the highest exponent prime factors of 3827 and 3835. First we will calculate the prime factors of 3827 and 3835.
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
Prime Factorization of 3835
| 5 | 3835 |
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 3835 are 5, 13,59. Prime factorization of 3835 in exponential form is:
3835 = 51×131×591
Now multiplying the highest exponent prime factors to calculate the LCM of 3827 and 3835.
LCM(3827,3835) = 51×131×431×591×891
LCM(3827,3835) = 14676545
Factors of 3827
List of positive integer factors of 3827 that divides 3827 without a remainder.
1, 43, 89, 3827
Factors of 3835
List of positive integer factors of 3835 that divides 3835 without a remainder.
1, 5, 13, 59, 65, 295, 767, 3835
Least Common Multiple of 3827 and 3835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3827 and 3835, than apply into the LCM equation.
GCF(3827,3835) = 1
LCM(3827,3835) = ( 3827 × 3835) / 1
LCM(3827,3835) = 14676545 / 1
LCM(3827,3835) = 14676545
Properties of LCM 3827 and 3835
(i) The LCM of 3835 and 3827 is associative
LCM of 3827 and 3835 = LCM of 3835 and 3827
Related Least Common Multiples of 3827
Related Least Common Multiples of 3835
Frequently Asked Questions on LCM of 3827 and 3835
1. What is the LCM of 3827 and 3835?
Answer: LCM of 3827 and 3835 is 14676545.
2. 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.
3. What are the Factors of 3835?
Answer: Factors of 3835 are 1, 5, 13, 59, 65, 295, 767, 3835. There are 8 integers that are factors of 3835. The greatest factor of 3835 is 3835.
4. How to Find the LCM of 3827 and 3835?
Answer:
Least Common Multiple of 3827 and 3835 = 14676545
Step 1: Find the prime factorization of 3827
3827 = 43 x 89
Step 2: Find the prime factorization of 3835
3835 = 5 x 13 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14676545 = 5 x 13 x 43 x 59 x 89
Step 4: Therefore, the least common multiple of 3827 and 3835 is 14676545.