Least Common Multiple of 771 and 779
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 779 the smallest integer that is 600609 that is divisible by both numbers.
Least Common Multiple (LCM) of 771 and 779 is 600609.
LCM(771,779) = 600609
LCM of 771 and 779
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 771 and 779 by Prime method
- Least Common Multiple of 771 and 779 with GCF Formula
LCM of 771 and 779 is 600609
Least common multiple can be found by multiplying the highest exponent prime factors of 771 and 779. First we will calculate the prime factors of 771 and 779.
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 779
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:
779 = 191×411
Now multiplying the highest exponent prime factors to calculate the LCM of 771 and 779.
LCM(771,779) = 31×191×411×2571
LCM(771,779) = 600609
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Least Common Multiple of 771 and 779 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 779, than apply into the LCM equation.
GCF(771,779) = 1
LCM(771,779) = ( 771 × 779) / 1
LCM(771,779) = 600609 / 1
LCM(771,779) = 600609
Properties of LCM 771 and 779
(i) The LCM of 779 and 771 is associative
LCM of 771 and 779 = LCM of 779 and 771
Related Least Common Multiples of 771
Related Least Common Multiples of 779
Frequently Asked Questions on LCM of 771 and 779
1. What is the LCM of 771 and 779?
Answer: LCM of 771 and 779 is 600609.
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 779?
Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.
4. How to Find the LCM of 771 and 779?
Answer:
Least Common Multiple of 771 and 779 = 600609
Step 1: Find the prime factorization of 771
771 = 3 x 257
Step 2: Find the prime factorization of 779
779 = 19 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 600609 = 3 x 19 x 41 x 257
Step 4: Therefore, the least common multiple of 771 and 779 is 600609.