Least Common Multiple of 777 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 777 and 782 the smallest integer that is 607614 that is divisible by both numbers.
Least Common Multiple (LCM) of 777 and 782 is 607614.
LCM(777,782) = 607614
LCM of 777 and 782
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 777 and 782 by Prime method
- Least Common Multiple of 777 and 782 with GCF Formula
LCM of 777 and 782 is 607614
Least common multiple can be found by multiplying the highest exponent prime factors of 777 and 782. First we will calculate the prime factors of 777 and 782.
Prime Factorization of 777
| 3 | 777 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 777 are 3, 7,37. Prime factorization of 777 in exponential form is:
777 = 31×71×371
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 777 and 782.
LCM(777,782) = 21×31×71×171×231×371
LCM(777,782) = 607614
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
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 777 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 777 and 782, than apply into the LCM equation.
GCF(777,782) = 1
LCM(777,782) = ( 777 × 782) / 1
LCM(777,782) = 607614 / 1
LCM(777,782) = 607614
Properties of LCM 777 and 782
(i) The LCM of 782 and 777 is associative
LCM of 777 and 782 = LCM of 782 and 777
Related Least Common Multiples of 777
Related Least Common Multiples of 782
Frequently Asked Questions on LCM of 777 and 782
1. What is the LCM of 777 and 782?
Answer: LCM of 777 and 782 is 607614.
2. What are the Factors of 777?
Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.
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 777 and 782?
Answer:
Least Common Multiple of 777 and 782 = 607614
Step 1: Find the prime factorization of 777
777 = 3 x 7 x 37
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 = 607614 = 2 x 3 x 7 x 17 x 23 x 37
Step 4: Therefore, the least common multiple of 777 and 782 is 607614.