Least Common Multiple of 7790 and 7795
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7790 and 7795 the smallest integer that is 12144610 that is divisible by both numbers.
Least Common Multiple (LCM) of 7790 and 7795 is 12144610.
LCM(7790,7795) = 12144610
LCM of 7790 and 7795
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7790 and 7795 by Prime method
- Least Common Multiple of 7790 and 7795 with GCF Formula
LCM of 7790 and 7795 is 12144610
Least common multiple can be found by multiplying the highest exponent prime factors of 7790 and 7795. First we will calculate the prime factors of 7790 and 7795.
Prime Factorization of 7790
| 2 | 7790 |
| 5 | 3895 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 7790 are 2, 5, 19,41. Prime factorization of 7790 in exponential form is:
7790 = 21×51×191×411
Prime Factorization of 7795
| 5 | 7795 |
| 1559 | 1559 |
| 1 |
Prime factors of 7795 are 5,1559. Prime factorization of 7795 in exponential form is:
7795 = 51×15591
Now multiplying the highest exponent prime factors to calculate the LCM of 7790 and 7795.
LCM(7790,7795) = 21×51×191×411×15591
LCM(7790,7795) = 12144610
Factors of 7790
List of positive integer factors of 7790 that divides 7790 without a remainder.
1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790
Factors of 7795
List of positive integer factors of 7795 that divides 7795 without a remainder.
1, 5, 1559, 7795
Least Common Multiple of 7790 and 7795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7790 and 7795, than apply into the LCM equation.
GCF(7790,7795) = 5
LCM(7790,7795) = ( 7790 × 7795) / 5
LCM(7790,7795) = 60723050 / 5
LCM(7790,7795) = 12144610
Properties of LCM 7790 and 7795
(i) The LCM of 7795 and 7790 is associative
LCM of 7790 and 7795 = LCM of 7795 and 7790
Related Least Common Multiples of 7790
Related Least Common Multiples of 7795
Frequently Asked Questions on LCM of 7790 and 7795
1. What is the LCM of 7790 and 7795?
Answer: LCM of 7790 and 7795 is 12144610.
2. What are the Factors of 7790?
Answer: Factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790. There are 16 integers that are factors of 7790. The greatest factor of 7790 is 7790.
3. What are the Factors of 7795?
Answer: Factors of 7795 are 1, 5, 1559, 7795. There are 4 integers that are factors of 7795. The greatest factor of 7795 is 7795.
4. How to Find the LCM of 7790 and 7795?
Answer:
Least Common Multiple of 7790 and 7795 = 12144610
Step 1: Find the prime factorization of 7790
7790 = 2 x 5 x 19 x 41
Step 2: Find the prime factorization of 7795
7795 = 5 x 1559
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12144610 = 2 x 5 x 19 x 41 x 1559
Step 4: Therefore, the least common multiple of 7790 and 7795 is 12144610.