Least Common Multiple of 7634 and 7641
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7634 and 7641 the smallest integer that is 58331394 that is divisible by both numbers.
Least Common Multiple (LCM) of 7634 and 7641 is 58331394.
LCM(7634,7641) = 58331394
LCM of 7634 and 7641
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7634 and 7641 by Prime method
- Least Common Multiple of 7634 and 7641 with GCF Formula
LCM of 7634 and 7641 is 58331394
Least common multiple can be found by multiplying the highest exponent prime factors of 7634 and 7641. First we will calculate the prime factors of 7634 and 7641.
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
Prime Factorization of 7641
| 3 | 7641 |
| 3 | 2547 |
| 3 | 849 |
| 283 | 283 |
| 1 |
Prime factors of 7641 are 3,283. Prime factorization of 7641 in exponential form is:
7641 = 33×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 7634 and 7641.
LCM(7634,7641) = 21×33×111×2831×3471
LCM(7634,7641) = 58331394
Factors of 7634
List of positive integer factors of 7634 that divides 7634 without a remainder.
1, 2, 11, 22, 347, 694, 3817, 7634
Factors of 7641
List of positive integer factors of 7641 that divides 7641 without a remainder.
1, 3, 9, 27, 283, 849, 2547, 7641
Least Common Multiple of 7634 and 7641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7634 and 7641, than apply into the LCM equation.
GCF(7634,7641) = 1
LCM(7634,7641) = ( 7634 × 7641) / 1
LCM(7634,7641) = 58331394 / 1
LCM(7634,7641) = 58331394
Properties of LCM 7634 and 7641
(i) The LCM of 7641 and 7634 is associative
LCM of 7634 and 7641 = LCM of 7641 and 7634
Related Least Common Multiples of 7634
Related Least Common Multiples of 7641
Frequently Asked Questions on LCM of 7634 and 7641
1. What is the LCM of 7634 and 7641?
Answer: LCM of 7634 and 7641 is 58331394.
2. 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.
3. What are the Factors of 7641?
Answer: Factors of 7641 are 1, 3, 9, 27, 283, 849, 2547, 7641. There are 8 integers that are factors of 7641. The greatest factor of 7641 is 7641.
4. How to Find the LCM of 7634 and 7641?
Answer:
Least Common Multiple of 7634 and 7641 = 58331394
Step 1: Find the prime factorization of 7634
7634 = 2 x 11 x 347
Step 2: Find the prime factorization of 7641
7641 = 3 x 3 x 3 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58331394 = 2 x 3 x 3 x 3 x 11 x 283 x 347
Step 4: Therefore, the least common multiple of 7634 and 7641 is 58331394.