Least Common Multiple of 9779 and 9785
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9779 and 9785 the smallest integer that is 95687515 that is divisible by both numbers.
Least Common Multiple (LCM) of 9779 and 9785 is 95687515.
LCM(9779,9785) = 95687515
LCM of 9779 and 9785
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9779 and 9785 by Prime method
- Least Common Multiple of 9779 and 9785 with GCF Formula
LCM of 9779 and 9785 is 95687515
Least common multiple can be found by multiplying the highest exponent prime factors of 9779 and 9785. First we will calculate the prime factors of 9779 and 9785.
Prime Factorization of 9779
| 7 | 9779 |
| 11 | 1397 |
| 127 | 127 |
| 1 |
Prime factors of 9779 are 7, 11,127. Prime factorization of 9779 in exponential form is:
9779 = 71×111×1271
Prime Factorization of 9785
| 5 | 9785 |
| 19 | 1957 |
| 103 | 103 |
| 1 |
Prime factors of 9785 are 5, 19,103. Prime factorization of 9785 in exponential form is:
9785 = 51×191×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 9779 and 9785.
LCM(9779,9785) = 51×71×111×191×1031×1271
LCM(9779,9785) = 95687515
Factors of 9779
List of positive integer factors of 9779 that divides 9779 without a remainder.
1, 7, 11, 77, 127, 889, 1397, 9779
Factors of 9785
List of positive integer factors of 9785 that divides 9785 without a remainder.
1, 5, 19, 95, 103, 515, 1957, 9785
Least Common Multiple of 9779 and 9785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9779 and 9785, than apply into the LCM equation.
GCF(9779,9785) = 1
LCM(9779,9785) = ( 9779 × 9785) / 1
LCM(9779,9785) = 95687515 / 1
LCM(9779,9785) = 95687515
Properties of LCM 9779 and 9785
(i) The LCM of 9785 and 9779 is associative
LCM of 9779 and 9785 = LCM of 9785 and 9779
Related Least Common Multiples of 9779
Related Least Common Multiples of 9785
Frequently Asked Questions on LCM of 9779 and 9785
1. What is the LCM of 9779 and 9785?
Answer: LCM of 9779 and 9785 is 95687515.
2. What are the Factors of 9779?
Answer: Factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779. There are 8 integers that are factors of 9779. The greatest factor of 9779 is 9779.
3. What are the Factors of 9785?
Answer: Factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785. There are 8 integers that are factors of 9785. The greatest factor of 9785 is 9785.
4. How to Find the LCM of 9779 and 9785?
Answer:
Least Common Multiple of 9779 and 9785 = 95687515
Step 1: Find the prime factorization of 9779
9779 = 7 x 11 x 127
Step 2: Find the prime factorization of 9785
9785 = 5 x 19 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95687515 = 5 x 7 x 11 x 19 x 103 x 127
Step 4: Therefore, the least common multiple of 9779 and 9785 is 95687515.