Least Common Multiple of 772 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 772 and 777 the smallest integer that is 599844 that is divisible by both numbers.
Least Common Multiple (LCM) of 772 and 777 is 599844.
LCM(772,777) = 599844
LCM of 772 and 777
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 772 and 777 by Prime method
- Least Common Multiple of 772 and 777 with GCF Formula
LCM of 772 and 777 is 599844
Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 777. First we will calculate the prime factors of 772 and 777.
Prime Factorization of 772
| 2 | 772 |
| 2 | 386 |
| 193 | 193 |
| 1 |
Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:
772 = 22×1931
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 772 and 777.
LCM(772,777) = 22×31×71×371×1931
LCM(772,777) = 599844
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
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 772 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 772 and 777, than apply into the LCM equation.
GCF(772,777) = 1
LCM(772,777) = ( 772 × 777) / 1
LCM(772,777) = 599844 / 1
LCM(772,777) = 599844
Properties of LCM 772 and 777
(i) The LCM of 777 and 772 is associative
LCM of 772 and 777 = LCM of 777 and 772
Related Least Common Multiples of 772
Related Least Common Multiples of 777
Frequently Asked Questions on LCM of 772 and 777
1. What is the LCM of 772 and 777?
Answer: LCM of 772 and 777 is 599844.
2. What are the Factors of 772?
Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.
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 772 and 777?
Answer:
Least Common Multiple of 772 and 777 = 599844
Step 1: Find the prime factorization of 772
772 = 2 x 2 x 193
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 = 599844 = 2 x 2 x 3 x 7 x 37 x 193
Step 4: Therefore, the least common multiple of 772 and 777 is 599844.