Least Common Multiple of 3629 and 3634
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3629 and 3634 the smallest integer that is 13187786 that is divisible by both numbers.
Least Common Multiple (LCM) of 3629 and 3634 is 13187786.
LCM(3629,3634) = 13187786
LCM of 3629 and 3634
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3629 and 3634 by Prime method
- Least Common Multiple of 3629 and 3634 with GCF Formula
LCM of 3629 and 3634 is 13187786
Least common multiple can be found by multiplying the highest exponent prime factors of 3629 and 3634. First we will calculate the prime factors of 3629 and 3634.
Prime Factorization of 3629
| 19 | 3629 |
| 191 | 191 |
| 1 |
Prime factors of 3629 are 19,191. Prime factorization of 3629 in exponential form is:
3629 = 191×1911
Prime Factorization of 3634
| 2 | 3634 |
| 23 | 1817 |
| 79 | 79 |
| 1 |
Prime factors of 3634 are 2, 23,79. Prime factorization of 3634 in exponential form is:
3634 = 21×231×791
Now multiplying the highest exponent prime factors to calculate the LCM of 3629 and 3634.
LCM(3629,3634) = 21×191×231×791×1911
LCM(3629,3634) = 13187786
Factors of 3629
List of positive integer factors of 3629 that divides 3629 without a remainder.
1, 19, 191, 3629
Factors of 3634
List of positive integer factors of 3634 that divides 3634 without a remainder.
1, 2, 23, 46, 79, 158, 1817, 3634
Least Common Multiple of 3629 and 3634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3629 and 3634, than apply into the LCM equation.
GCF(3629,3634) = 1
LCM(3629,3634) = ( 3629 × 3634) / 1
LCM(3629,3634) = 13187786 / 1
LCM(3629,3634) = 13187786
Properties of LCM 3629 and 3634
(i) The LCM of 3634 and 3629 is associative
LCM of 3629 and 3634 = LCM of 3634 and 3629
Related Least Common Multiples of 3629
Related Least Common Multiples of 3634
Frequently Asked Questions on LCM of 3629 and 3634
1. What is the LCM of 3629 and 3634?
Answer: LCM of 3629 and 3634 is 13187786.
2. What are the Factors of 3629?
Answer: Factors of 3629 are 1, 19, 191, 3629. There are 4 integers that are factors of 3629. The greatest factor of 3629 is 3629.
3. What are the Factors of 3634?
Answer: Factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634. There are 8 integers that are factors of 3634. The greatest factor of 3634 is 3634.
4. How to Find the LCM of 3629 and 3634?
Answer:
Least Common Multiple of 3629 and 3634 = 13187786
Step 1: Find the prime factorization of 3629
3629 = 19 x 191
Step 2: Find the prime factorization of 3634
3634 = 2 x 23 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13187786 = 2 x 19 x 23 x 79 x 191
Step 4: Therefore, the least common multiple of 3629 and 3634 is 13187786.