Least Common Multiple of 7633 and 7634
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7633 and 7634 the smallest integer that is 58270322 that is divisible by both numbers.
Least Common Multiple (LCM) of 7633 and 7634 is 58270322.
LCM(7633,7634) = 58270322
LCM of 7633 and 7634
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7633 and 7634 by Prime method
- Least Common Multiple of 7633 and 7634 with GCF Formula
LCM of 7633 and 7634 is 58270322
Least common multiple can be found by multiplying the highest exponent prime factors of 7633 and 7634. First we will calculate the prime factors of 7633 and 7634.
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
Prime Factorization of 7634
| 2 | 7634 |
| 11 | 3817 |
| 347 | 347 |
| 1 |
Prime factors of 7634 are 2, 11,347. Prime factorization of 7634 in exponential form is:
7634 = 21×111×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 7633 and 7634.
LCM(7633,7634) = 21×111×171×3471×4491
LCM(7633,7634) = 58270322
Factors of 7633
List of positive integer factors of 7633 that divides 7633 without a remainder.
1, 17, 449, 7633
Factors of 7634
List of positive integer factors of 7634 that divides 7634 without a remainder.
1, 2, 11, 22, 347, 694, 3817, 7634
Least Common Multiple of 7633 and 7634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7633 and 7634, than apply into the LCM equation.
GCF(7633,7634) = 1
LCM(7633,7634) = ( 7633 × 7634) / 1
LCM(7633,7634) = 58270322 / 1
LCM(7633,7634) = 58270322
Properties of LCM 7633 and 7634
(i) The LCM of 7634 and 7633 is associative
LCM of 7633 and 7634 = LCM of 7634 and 7633
Related Least Common Multiples of 7633
Related Least Common Multiples of 7634
Frequently Asked Questions on LCM of 7633 and 7634
1. What is the LCM of 7633 and 7634?
Answer: LCM of 7633 and 7634 is 58270322.
2. 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.
3. What are the Factors of 7634?
Answer: Factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634. There are 8 integers that are factors of 7634. The greatest factor of 7634 is 7634.
4. How to Find the LCM of 7633 and 7634?
Answer:
Least Common Multiple of 7633 and 7634 = 58270322
Step 1: Find the prime factorization of 7633
7633 = 17 x 449
Step 2: Find the prime factorization of 7634
7634 = 2 x 11 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58270322 = 2 x 11 x 17 x 347 x 449
Step 4: Therefore, the least common multiple of 7633 and 7634 is 58270322.