Least Common Multiple of 771 and 775
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 771 and 775 the smallest integer that is 597525 that is divisible by both numbers.
Least Common Multiple (LCM) of 771 and 775 is 597525.
LCM(771,775) = 597525
LCM of 771 and 775
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 771 and 775 by Prime method
- Least Common Multiple of 771 and 775 with GCF Formula
LCM of 771 and 775 is 597525
Least common multiple can be found by multiplying the highest exponent prime factors of 771 and 775. First we will calculate the prime factors of 771 and 775.
Prime Factorization of 771
| 3 | 771 |
| 257 | 257 |
| 1 |
Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:
771 = 31×2571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 771 and 775.
LCM(771,775) = 31×52×311×2571
LCM(771,775) = 597525
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Least Common Multiple of 771 and 775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 771 and 775, than apply into the LCM equation.
GCF(771,775) = 1
LCM(771,775) = ( 771 × 775) / 1
LCM(771,775) = 597525 / 1
LCM(771,775) = 597525
Properties of LCM 771 and 775
(i) The LCM of 775 and 771 is associative
LCM of 771 and 775 = LCM of 775 and 771
Related Least Common Multiples of 771
Related Least Common Multiples of 775
Frequently Asked Questions on LCM of 771 and 775
1. What is the LCM of 771 and 775?
Answer: LCM of 771 and 775 is 597525.
2. What are the Factors of 771?
Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.
3. 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.
4. How to Find the LCM of 771 and 775?
Answer:
Least Common Multiple of 771 and 775 = 597525
Step 1: Find the prime factorization of 771
771 = 3 x 257
Step 2: Find the prime factorization of 775
775 = 5 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 597525 = 3 x 5 x 5 x 31 x 257
Step 4: Therefore, the least common multiple of 771 and 775 is 597525.