Least Common Multiple of 779 and 781
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 779 and 781 the smallest integer that is 608399 that is divisible by both numbers.
Least Common Multiple (LCM) of 779 and 781 is 608399.
LCM(779,781) = 608399
LCM of 779 and 781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 779 and 781 by Prime method
- Least Common Multiple of 779 and 781 with GCF Formula
LCM of 779 and 781 is 608399
Least common multiple can be found by multiplying the highest exponent prime factors of 779 and 781. First we will calculate the prime factors of 779 and 781.
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
Prime Factorization of 781
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:
781 = 111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 779 and 781.
LCM(779,781) = 111×191×411×711
LCM(779,781) = 608399
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Least Common Multiple of 779 and 781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 779 and 781, than apply into the LCM equation.
GCF(779,781) = 1
LCM(779,781) = ( 779 × 781) / 1
LCM(779,781) = 608399 / 1
LCM(779,781) = 608399
Properties of LCM 779 and 781
(i) The LCM of 781 and 779 is associative
LCM of 779 and 781 = LCM of 781 and 779
Related Least Common Multiples of 779
Related Least Common Multiples of 781
Frequently Asked Questions on LCM of 779 and 781
1. What is the LCM of 779 and 781?
Answer: LCM of 779 and 781 is 608399.
2. 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.
3. What are the Factors of 781?
Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.
4. How to Find the LCM of 779 and 781?
Answer:
Least Common Multiple of 779 and 781 = 608399
Step 1: Find the prime factorization of 779
779 = 19 x 41
Step 2: Find the prime factorization of 781
781 = 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 608399 = 11 x 19 x 41 x 71
Step 4: Therefore, the least common multiple of 779 and 781 is 608399.
