Least Common Multiple of 9783 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 9783 and 9785 the smallest integer that is 95726655 that is divisible by both numbers.
Least Common Multiple (LCM) of 9783 and 9785 is 95726655.
LCM(9783,9785) = 95726655
LCM of 9783 and 9785
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9783 and 9785 by Prime method
- Least Common Multiple of 9783 and 9785 with GCF Formula
LCM of 9783 and 9785 is 95726655
Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9785. First we will calculate the prime factors of 9783 and 9785.
Prime Factorization of 9783
| 3 | 9783 |
| 3 | 3261 |
| 1087 | 1087 |
| 1 |
Prime factors of 9783 are 3,1087. Prime factorization of 9783 in exponential form is:
9783 = 32×10871
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 9783 and 9785.
LCM(9783,9785) = 32×51×191×1031×10871
LCM(9783,9785) = 95726655
Factors of 9783
List of positive integer factors of 9783 that divides 9783 without a remainder.
1, 3, 9, 1087, 3261, 9783
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 9783 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 9783 and 9785, than apply into the LCM equation.
GCF(9783,9785) = 1
LCM(9783,9785) = ( 9783 × 9785) / 1
LCM(9783,9785) = 95726655 / 1
LCM(9783,9785) = 95726655
Properties of LCM 9783 and 9785
(i) The LCM of 9785 and 9783 is associative
LCM of 9783 and 9785 = LCM of 9785 and 9783
Related Least Common Multiples of 9783
Related Least Common Multiples of 9785
Frequently Asked Questions on LCM of 9783 and 9785
1. What is the LCM of 9783 and 9785?
Answer: LCM of 9783 and 9785 is 95726655.
2. What are the Factors of 9783?
Answer: Factors of 9783 are 1, 3, 9, 1087, 3261, 9783. There are 6 integers that are factors of 9783. The greatest factor of 9783 is 9783.
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 9783 and 9785?
Answer:
Least Common Multiple of 9783 and 9785 = 95726655
Step 1: Find the prime factorization of 9783
9783 = 3 x 3 x 1087
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 = 95726655 = 3 x 3 x 5 x 19 x 103 x 1087
Step 4: Therefore, the least common multiple of 9783 and 9785 is 95726655.