Least Common Multiple of 779 and 782
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 779 and 782 the smallest integer that is 609178 that is divisible by both numbers.
Least Common Multiple (LCM) of 779 and 782 is 609178.
LCM(779,782) = 609178
LCM of 779 and 782
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 779 and 782 by Prime method
- Least Common Multiple of 779 and 782 with GCF Formula
LCM of 779 and 782 is 609178
Least common multiple can be found by multiplying the highest exponent prime factors of 779 and 782. First we will calculate the prime factors of 779 and 782.
Prime Factorization of 779
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:
779 = 191×411
Prime Factorization of 782
| 2 | 782 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 782 are 2, 17,23. Prime factorization of 782 in exponential form is:
782 = 21×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 779 and 782.
LCM(779,782) = 21×171×191×231×411
LCM(779,782) = 609178
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Least Common Multiple of 779 and 782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 779 and 782, than apply into the LCM equation.
GCF(779,782) = 1
LCM(779,782) = ( 779 × 782) / 1
LCM(779,782) = 609178 / 1
LCM(779,782) = 609178
Properties of LCM 779 and 782
(i) The LCM of 782 and 779 is associative
LCM of 779 and 782 = LCM of 782 and 779
Related Least Common Multiples of 779
Related Least Common Multiples of 782
Frequently Asked Questions on LCM of 779 and 782
1. What is the LCM of 779 and 782?
Answer: LCM of 779 and 782 is 609178.
2. What are the Factors of 779?
Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.
3. What are the Factors of 782?
Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.
4. How to Find the LCM of 779 and 782?
Answer:
Least Common Multiple of 779 and 782 = 609178
Step 1: Find the prime factorization of 779
779 = 19 x 41
Step 2: Find the prime factorization of 782
782 = 2 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 609178 = 2 x 17 x 19 x 23 x 41
Step 4: Therefore, the least common multiple of 779 and 782 is 609178.
