Least Common Multiple of 3678 and 3683
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3678 and 3683 the smallest integer that is 13546074 that is divisible by both numbers.
Least Common Multiple (LCM) of 3678 and 3683 is 13546074.
LCM(3678,3683) = 13546074
LCM of 3678 and 3683
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3678 and 3683 by Prime method
- Least Common Multiple of 3678 and 3683 with GCF Formula
LCM of 3678 and 3683 is 13546074
Least common multiple can be found by multiplying the highest exponent prime factors of 3678 and 3683. First we will calculate the prime factors of 3678 and 3683.
Prime Factorization of 3678
| 2 | 3678 |
| 3 | 1839 |
| 613 | 613 |
| 1 |
Prime factors of 3678 are 2, 3,613. Prime factorization of 3678 in exponential form is:
3678 = 21×31×6131
Prime Factorization of 3683
| 29 | 3683 |
| 127 | 127 |
| 1 |
Prime factors of 3683 are 29,127. Prime factorization of 3683 in exponential form is:
3683 = 291×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 3678 and 3683.
LCM(3678,3683) = 21×31×291×1271×6131
LCM(3678,3683) = 13546074
Factors of 3678
List of positive integer factors of 3678 that divides 3678 without a remainder.
1, 2, 3, 6, 613, 1226, 1839, 3678
Factors of 3683
List of positive integer factors of 3683 that divides 3683 without a remainder.
1, 29, 127, 3683
Least Common Multiple of 3678 and 3683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3678 and 3683, than apply into the LCM equation.
GCF(3678,3683) = 1
LCM(3678,3683) = ( 3678 × 3683) / 1
LCM(3678,3683) = 13546074 / 1
LCM(3678,3683) = 13546074
Properties of LCM 3678 and 3683
(i) The LCM of 3683 and 3678 is associative
LCM of 3678 and 3683 = LCM of 3683 and 3678
Related Least Common Multiples of 3678
Related Least Common Multiples of 3683
Frequently Asked Questions on LCM of 3678 and 3683
1. What is the LCM of 3678 and 3683?
Answer: LCM of 3678 and 3683 is 13546074.
2. What are the Factors of 3678?
Answer: Factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678. There are 8 integers that are factors of 3678. The greatest factor of 3678 is 3678.
3. What are the Factors of 3683?
Answer: Factors of 3683 are 1, 29, 127, 3683. There are 4 integers that are factors of 3683. The greatest factor of 3683 is 3683.
4. How to Find the LCM of 3678 and 3683?
Answer:
Least Common Multiple of 3678 and 3683 = 13546074
Step 1: Find the prime factorization of 3678
3678 = 2 x 3 x 613
Step 2: Find the prime factorization of 3683
3683 = 29 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13546074 = 2 x 3 x 29 x 127 x 613
Step 4: Therefore, the least common multiple of 3678 and 3683 is 13546074.