Least Common Multiple of 790 and 795
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 790 and 795 the smallest integer that is 125610 that is divisible by both numbers.
Least Common Multiple (LCM) of 790 and 795 is 125610.
LCM(790,795) = 125610
LCM of 790 and 795
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 790 and 795 by Prime method
- Least Common Multiple of 790 and 795 with GCF Formula
LCM of 790 and 795 is 125610
Least common multiple can be found by multiplying the highest exponent prime factors of 790 and 795. First we will calculate the prime factors of 790 and 795.
Prime Factorization of 790
| 2 | 790 |
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:
790 = 21×51×791
Prime Factorization of 795
| 3 | 795 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 795 are 3, 5,53. Prime factorization of 795 in exponential form is:
795 = 31×51×531
Now multiplying the highest exponent prime factors to calculate the LCM of 790 and 795.
LCM(790,795) = 21×31×51×531×791
LCM(790,795) = 125610
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Least Common Multiple of 790 and 795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 790 and 795, than apply into the LCM equation.
GCF(790,795) = 5
LCM(790,795) = ( 790 × 795) / 5
LCM(790,795) = 628050 / 5
LCM(790,795) = 125610
Properties of LCM 790 and 795
(i) The LCM of 795 and 790 is associative
LCM of 790 and 795 = LCM of 795 and 790
Related Least Common Multiples of 790
Related Least Common Multiples of 795
Frequently Asked Questions on LCM of 790 and 795
1. What is the LCM of 790 and 795?
Answer: LCM of 790 and 795 is 125610.
2. What are the Factors of 790?
Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.
3. What are the Factors of 795?
Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.
4. How to Find the LCM of 790 and 795?
Answer:
Least Common Multiple of 790 and 795 = 125610
Step 1: Find the prime factorization of 790
790 = 2 x 5 x 79
Step 2: Find the prime factorization of 795
795 = 3 x 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 125610 = 2 x 3 x 5 x 53 x 79
Step 4: Therefore, the least common multiple of 790 and 795 is 125610.