Least Common Multiple of 3811 and 3817
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3811 and 3817 the smallest integer that is 14546587 that is divisible by both numbers.
Least Common Multiple (LCM) of 3811 and 3817 is 14546587.
LCM(3811,3817) = 14546587
LCM of 3811 and 3817
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3811 and 3817 by Prime method
- Least Common Multiple of 3811 and 3817 with GCF Formula
LCM of 3811 and 3817 is 14546587
Least common multiple can be found by multiplying the highest exponent prime factors of 3811 and 3817. First we will calculate the prime factors of 3811 and 3817.
Prime Factorization of 3811
| 37 | 3811 |
| 103 | 103 |
| 1 |
Prime factors of 3811 are 37,103. Prime factorization of 3811 in exponential form is:
3811 = 371×1031
Prime Factorization of 3817
| 11 | 3817 |
| 347 | 347 |
| 1 |
Prime factors of 3817 are 11,347. Prime factorization of 3817 in exponential form is:
3817 = 111×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 3811 and 3817.
LCM(3811,3817) = 111×371×1031×3471
LCM(3811,3817) = 14546587
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
Factors of 3817
List of positive integer factors of 3817 that divides 3817 without a remainder.
1, 11, 347, 3817
Least Common Multiple of 3811 and 3817 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3811 and 3817, than apply into the LCM equation.
GCF(3811,3817) = 1
LCM(3811,3817) = ( 3811 × 3817) / 1
LCM(3811,3817) = 14546587 / 1
LCM(3811,3817) = 14546587
Properties of LCM 3811 and 3817
(i) The LCM of 3817 and 3811 is associative
LCM of 3811 and 3817 = LCM of 3817 and 3811
Related Least Common Multiples of 3811
Related Least Common Multiples of 3817
Frequently Asked Questions on LCM of 3811 and 3817
1. What is the LCM of 3811 and 3817?
Answer: LCM of 3811 and 3817 is 14546587.
2. What are the Factors of 3811?
Answer: Factors of 3811 are 1, 37, 103, 3811. There are 4 integers that are factors of 3811. The greatest factor of 3811 is 3811.
3. What are the Factors of 3817?
Answer: Factors of 3817 are 1, 11, 347, 3817. There are 4 integers that are factors of 3817. The greatest factor of 3817 is 3817.
4. How to Find the LCM of 3811 and 3817?
Answer:
Least Common Multiple of 3811 and 3817 = 14546587
Step 1: Find the prime factorization of 3811
3811 = 37 x 103
Step 2: Find the prime factorization of 3817
3817 = 11 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14546587 = 11 x 37 x 103 x 347
Step 4: Therefore, the least common multiple of 3811 and 3817 is 14546587.