Least Common Multiple of 775 and 777
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 775 and 777 the smallest integer that is 602175 that is divisible by both numbers.
Least Common Multiple (LCM) of 775 and 777 is 602175.
LCM(775,777) = 602175
LCM of 775 and 777
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 775 and 777 by Prime method
- Least Common Multiple of 775 and 777 with GCF Formula
LCM of 775 and 777 is 602175
Least common multiple can be found by multiplying the highest exponent prime factors of 775 and 777. First we will calculate the prime factors of 775 and 777.
Prime Factorization of 775
| 5 | 775 |
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:
775 = 52×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 775 and 777.
LCM(775,777) = 31×52×71×311×371
LCM(775,777) = 602175
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Least Common Multiple of 775 and 777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 775 and 777, than apply into the LCM equation.
GCF(775,777) = 1
LCM(775,777) = ( 775 × 777) / 1
LCM(775,777) = 602175 / 1
LCM(775,777) = 602175
Properties of LCM 775 and 777
(i) The LCM of 777 and 775 is associative
LCM of 775 and 777 = LCM of 777 and 775
Related Least Common Multiples of 775
Related Least Common Multiples of 777
Frequently Asked Questions on LCM of 775 and 777
1. What is the LCM of 775 and 777?
Answer: LCM of 775 and 777 is 602175.
2. What are the Factors of 775?
Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.
3. 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.
4. How to Find the LCM of 775 and 777?
Answer:
Least Common Multiple of 775 and 777 = 602175
Step 1: Find the prime factorization of 775
775 = 5 x 5 x 31
Step 2: Find the prime factorization of 777
777 = 3 x 7 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 602175 = 3 x 5 x 5 x 7 x 31 x 37
Step 4: Therefore, the least common multiple of 775 and 777 is 602175.