Least Common Multiple of 7629 and 7633
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7629 and 7633 the smallest integer that is 58232157 that is divisible by both numbers.
Least Common Multiple (LCM) of 7629 and 7633 is 58232157.
LCM(7629,7633) = 58232157
LCM of 7629 and 7633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7629 and 7633 by Prime method
- Least Common Multiple of 7629 and 7633 with GCF Formula
LCM of 7629 and 7633 is 58232157
Least common multiple can be found by multiplying the highest exponent prime factors of 7629 and 7633. First we will calculate the prime factors of 7629 and 7633.
Prime Factorization of 7629
| 3 | 7629 |
| 2543 | 2543 |
| 1 |
Prime factors of 7629 are 3,2543. Prime factorization of 7629 in exponential form is:
7629 = 31×25431
Prime Factorization of 7633
| 17 | 7633 |
| 449 | 449 |
| 1 |
Prime factors of 7633 are 17,449. Prime factorization of 7633 in exponential form is:
7633 = 171×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 7629 and 7633.
LCM(7629,7633) = 31×171×4491×25431
LCM(7629,7633) = 58232157
Factors of 7629
List of positive integer factors of 7629 that divides 7629 without a remainder.
1, 3, 2543, 7629
Factors of 7633
List of positive integer factors of 7633 that divides 7633 without a remainder.
1, 17, 449, 7633
Least Common Multiple of 7629 and 7633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7629 and 7633, than apply into the LCM equation.
GCF(7629,7633) = 1
LCM(7629,7633) = ( 7629 × 7633) / 1
LCM(7629,7633) = 58232157 / 1
LCM(7629,7633) = 58232157
Properties of LCM 7629 and 7633
(i) The LCM of 7633 and 7629 is associative
LCM of 7629 and 7633 = LCM of 7633 and 7629
Related Least Common Multiples of 7629
Related Least Common Multiples of 7633
Frequently Asked Questions on LCM of 7629 and 7633
1. What is the LCM of 7629 and 7633?
Answer: LCM of 7629 and 7633 is 58232157.
2. What are the Factors of 7629?
Answer: Factors of 7629 are 1, 3, 2543, 7629. There are 4 integers that are factors of 7629. The greatest factor of 7629 is 7629.
3. What are the Factors of 7633?
Answer: Factors of 7633 are 1, 17, 449, 7633. There are 4 integers that are factors of 7633. The greatest factor of 7633 is 7633.
4. How to Find the LCM of 7629 and 7633?
Answer:
Least Common Multiple of 7629 and 7633 = 58232157
Step 1: Find the prime factorization of 7629
7629 = 3 x 2543
Step 2: Find the prime factorization of 7633
7633 = 17 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58232157 = 3 x 17 x 449 x 2543
Step 4: Therefore, the least common multiple of 7629 and 7633 is 58232157.