Least Common Multiple of 3629 and 3633
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 3633 the smallest integer that is 13184157 that is divisible by both numbers.
Least Common Multiple (LCM) of 3629 and 3633 is 13184157.
LCM(3629,3633) = 13184157
LCM of 3629 and 3633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3629 and 3633 by Prime method
- Least Common Multiple of 3629 and 3633 with GCF Formula
LCM of 3629 and 3633 is 13184157
Least common multiple can be found by multiplying the highest exponent prime factors of 3629 and 3633. First we will calculate the prime factors of 3629 and 3633.
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 3633
| 3 | 3633 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 3633 are 3, 7,173. Prime factorization of 3633 in exponential form is:
3633 = 31×71×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 3629 and 3633.
LCM(3629,3633) = 31×71×191×1731×1911
LCM(3629,3633) = 13184157
Factors of 3629
List of positive integer factors of 3629 that divides 3629 without a remainder.
1, 19, 191, 3629
Factors of 3633
List of positive integer factors of 3633 that divides 3633 without a remainder.
1, 3, 7, 21, 173, 519, 1211, 3633
Least Common Multiple of 3629 and 3633 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 3633, than apply into the LCM equation.
GCF(3629,3633) = 1
LCM(3629,3633) = ( 3629 × 3633) / 1
LCM(3629,3633) = 13184157 / 1
LCM(3629,3633) = 13184157
Properties of LCM 3629 and 3633
(i) The LCM of 3633 and 3629 is associative
LCM of 3629 and 3633 = LCM of 3633 and 3629
Related Least Common Multiples of 3629
Related Least Common Multiples of 3633
Frequently Asked Questions on LCM of 3629 and 3633
1. What is the LCM of 3629 and 3633?
Answer: LCM of 3629 and 3633 is 13184157.
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 3633?
Answer: Factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633. There are 8 integers that are factors of 3633. The greatest factor of 3633 is 3633.
4. How to Find the LCM of 3629 and 3633?
Answer:
Least Common Multiple of 3629 and 3633 = 13184157
Step 1: Find the prime factorization of 3629
3629 = 19 x 191
Step 2: Find the prime factorization of 3633
3633 = 3 x 7 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13184157 = 3 x 7 x 19 x 173 x 191
Step 4: Therefore, the least common multiple of 3629 and 3633 is 13184157.