Least Common Multiple of 763 and 771
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 763 and 771 the smallest integer that is 588273 that is divisible by both numbers.
Least Common Multiple (LCM) of 763 and 771 is 588273.
LCM(763,771) = 588273
LCM of 763 and 771
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 763 and 771 by Prime method
- Least Common Multiple of 763 and 771 with GCF Formula
LCM of 763 and 771 is 588273
Least common multiple can be found by multiplying the highest exponent prime factors of 763 and 771. First we will calculate the prime factors of 763 and 771.
Prime Factorization of 763
| 7 | 763 |
| 109 | 109 |
| 1 |
Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:
763 = 71×1091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 763 and 771.
LCM(763,771) = 31×71×1091×2571
LCM(763,771) = 588273
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Least Common Multiple of 763 and 771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 763 and 771, than apply into the LCM equation.
GCF(763,771) = 1
LCM(763,771) = ( 763 × 771) / 1
LCM(763,771) = 588273 / 1
LCM(763,771) = 588273
Properties of LCM 763 and 771
(i) The LCM of 771 and 763 is associative
LCM of 763 and 771 = LCM of 771 and 763
Related Least Common Multiples of 763
Related Least Common Multiples of 771
Frequently Asked Questions on LCM of 763 and 771
1. What is the LCM of 763 and 771?
Answer: LCM of 763 and 771 is 588273.
2. What are the Factors of 763?
Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.
3. 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.
4. How to Find the LCM of 763 and 771?
Answer:
Least Common Multiple of 763 and 771 = 588273
Step 1: Find the prime factorization of 763
763 = 7 x 109
Step 2: Find the prime factorization of 771
771 = 3 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 588273 = 3 x 7 x 109 x 257
Step 4: Therefore, the least common multiple of 763 and 771 is 588273.