Least Common Multiple of 7730 and 7735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7730 and 7735 the smallest integer that is 11958310 that is divisible by both numbers.
Least Common Multiple (LCM) of 7730 and 7735 is 11958310.
LCM(7730,7735) = 11958310
LCM of 7730 and 7735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7730 and 7735 by Prime method
- Least Common Multiple of 7730 and 7735 with GCF Formula
LCM of 7730 and 7735 is 11958310
Least common multiple can be found by multiplying the highest exponent prime factors of 7730 and 7735. First we will calculate the prime factors of 7730 and 7735.
Prime Factorization of 7730
| 2 | 7730 |
| 5 | 3865 |
| 773 | 773 |
| 1 |
Prime factors of 7730 are 2, 5,773. Prime factorization of 7730 in exponential form is:
7730 = 21×51×7731
Prime Factorization of 7735
| 5 | 7735 |
| 7 | 1547 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 7735 are 5, 7, 13,17. Prime factorization of 7735 in exponential form is:
7735 = 51×71×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 7730 and 7735.
LCM(7730,7735) = 21×51×71×131×171×7731
LCM(7730,7735) = 11958310
Factors of 7730
List of positive integer factors of 7730 that divides 7730 without a remainder.
1, 2, 5, 10, 773, 1546, 3865, 7730
Factors of 7735
List of positive integer factors of 7735 that divides 7735 without a remainder.
1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735
Least Common Multiple of 7730 and 7735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7730 and 7735, than apply into the LCM equation.
GCF(7730,7735) = 5
LCM(7730,7735) = ( 7730 × 7735) / 5
LCM(7730,7735) = 59791550 / 5
LCM(7730,7735) = 11958310
Properties of LCM 7730 and 7735
(i) The LCM of 7735 and 7730 is associative
LCM of 7730 and 7735 = LCM of 7735 and 7730
Related Least Common Multiples of 7730
Related Least Common Multiples of 7735
Frequently Asked Questions on LCM of 7730 and 7735
1. What is the LCM of 7730 and 7735?
Answer: LCM of 7730 and 7735 is 11958310.
2. What are the Factors of 7730?
Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.
3. What are the Factors of 7735?
Answer: Factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735. There are 16 integers that are factors of 7735. The greatest factor of 7735 is 7735.
4. How to Find the LCM of 7730 and 7735?
Answer:
Least Common Multiple of 7730 and 7735 = 11958310
Step 1: Find the prime factorization of 7730
7730 = 2 x 5 x 773
Step 2: Find the prime factorization of 7735
7735 = 5 x 7 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11958310 = 2 x 5 x 7 x 13 x 17 x 773
Step 4: Therefore, the least common multiple of 7730 and 7735 is 11958310.
