Least Common Multiple of 774 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 774 and 779 the smallest integer that is 602946 that is divisible by both numbers.
Least Common Multiple (LCM) of 774 and 779 is 602946.
LCM(774,779) = 602946
LCM of 774 and 779
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 774 and 779 by Prime method
- Least Common Multiple of 774 and 779 with GCF Formula
LCM of 774 and 779 is 602946
Least common multiple can be found by multiplying the highest exponent prime factors of 774 and 779. First we will calculate the prime factors of 774 and 779.
Prime Factorization of 774
| 2 | 774 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:
774 = 21×32×431
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 774 and 779.
LCM(774,779) = 21×32×191×411×431
LCM(774,779) = 602946
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Least Common Multiple of 774 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 774 and 779, than apply into the LCM equation.
GCF(774,779) = 1
LCM(774,779) = ( 774 × 779) / 1
LCM(774,779) = 602946 / 1
LCM(774,779) = 602946
Properties of LCM 774 and 779
(i) The LCM of 779 and 774 is associative
LCM of 774 and 779 = LCM of 779 and 774
Related Least Common Multiples of 774
Related Least Common Multiples of 779
Frequently Asked Questions on LCM of 774 and 779
1. What is the LCM of 774 and 779?
Answer: LCM of 774 and 779 is 602946.
2. What are the Factors of 774?
Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.
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 774 and 779?
Answer:
Least Common Multiple of 774 and 779 = 602946
Step 1: Find the prime factorization of 774
774 = 2 x 3 x 3 x 43
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 = 602946 = 2 x 3 x 3 x 19 x 41 x 43
Step 4: Therefore, the least common multiple of 774 and 779 is 602946.