Least Common Multiple of 7623 and 7629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7623 and 7629 the smallest integer that is 19385289 that is divisible by both numbers.
Least Common Multiple (LCM) of 7623 and 7629 is 19385289.
LCM(7623,7629) = 19385289
LCM of 7623 and 7629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7623 and 7629 by Prime method
- Least Common Multiple of 7623 and 7629 with GCF Formula
LCM of 7623 and 7629 is 19385289
Least common multiple can be found by multiplying the highest exponent prime factors of 7623 and 7629. First we will calculate the prime factors of 7623 and 7629.
Prime Factorization of 7623
| 3 | 7623 |
| 3 | 2541 |
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 7623 are 3, 7,11. Prime factorization of 7623 in exponential form is:
7623 = 32×71×112
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7623 and 7629.
LCM(7623,7629) = 32×71×112×25431
LCM(7623,7629) = 19385289
Factors of 7623
List of positive integer factors of 7623 that divides 7623 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
Factors of 7629
List of positive integer factors of 7629 that divides 7629 without a remainder.
1, 3, 2543, 7629
Least Common Multiple of 7623 and 7629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7623 and 7629, than apply into the LCM equation.
GCF(7623,7629) = 3
LCM(7623,7629) = ( 7623 × 7629) / 3
LCM(7623,7629) = 58155867 / 3
LCM(7623,7629) = 19385289
Properties of LCM 7623 and 7629
(i) The LCM of 7629 and 7623 is associative
LCM of 7623 and 7629 = LCM of 7629 and 7623
Related Least Common Multiples of 7623
Related Least Common Multiples of 7629
Frequently Asked Questions on LCM of 7623 and 7629
1. What is the LCM of 7623 and 7629?
Answer: LCM of 7623 and 7629 is 19385289.
2. What are the Factors of 7623?
Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.
3. 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.
4. How to Find the LCM of 7623 and 7629?
Answer:
Least Common Multiple of 7623 and 7629 = 19385289
Step 1: Find the prime factorization of 7623
7623 = 3 x 3 x 7 x 11 x 11
Step 2: Find the prime factorization of 7629
7629 = 3 x 2543
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19385289 = 3 x 3 x 7 x 11 x 11 x 2543
Step 4: Therefore, the least common multiple of 7623 and 7629 is 19385289.