Least Common Multiple of 9607 and 9614
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9607 and 9614 the smallest integer that is 92361698 that is divisible by both numbers.
Least Common Multiple (LCM) of 9607 and 9614 is 92361698.
LCM(9607,9614) = 92361698
LCM of 9607 and 9614
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9607 and 9614 by Prime method
- Least Common Multiple of 9607 and 9614 with GCF Formula
LCM of 9607 and 9614 is 92361698
Least common multiple can be found by multiplying the highest exponent prime factors of 9607 and 9614. First we will calculate the prime factors of 9607 and 9614.
Prime Factorization of 9607
| 13 | 9607 |
| 739 | 739 |
| 1 |
Prime factors of 9607 are 13,739. Prime factorization of 9607 in exponential form is:
9607 = 131×7391
Prime Factorization of 9614
| 2 | 9614 |
| 11 | 4807 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 9614 are 2, 11, 19,23. Prime factorization of 9614 in exponential form is:
9614 = 21×111×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 9607 and 9614.
LCM(9607,9614) = 21×111×131×191×231×7391
LCM(9607,9614) = 92361698
Factors of 9607
List of positive integer factors of 9607 that divides 9607 without a remainder.
1, 13, 739, 9607
Factors of 9614
List of positive integer factors of 9614 that divides 9614 without a remainder.
1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
Least Common Multiple of 9607 and 9614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9607 and 9614, than apply into the LCM equation.
GCF(9607,9614) = 1
LCM(9607,9614) = ( 9607 × 9614) / 1
LCM(9607,9614) = 92361698 / 1
LCM(9607,9614) = 92361698
Properties of LCM 9607 and 9614
(i) The LCM of 9614 and 9607 is associative
LCM of 9607 and 9614 = LCM of 9614 and 9607
Related Least Common Multiples of 9607
Related Least Common Multiples of 9614
Frequently Asked Questions on LCM of 9607 and 9614
1. What is the LCM of 9607 and 9614?
Answer: LCM of 9607 and 9614 is 92361698.
2. What are the Factors of 9607?
Answer: Factors of 9607 are 1, 13, 739, 9607. There are 4 integers that are factors of 9607. The greatest factor of 9607 is 9607.
3. What are the Factors of 9614?
Answer: Factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614. There are 16 integers that are factors of 9614. The greatest factor of 9614 is 9614.
4. How to Find the LCM of 9607 and 9614?
Answer:
Least Common Multiple of 9607 and 9614 = 92361698
Step 1: Find the prime factorization of 9607
9607 = 13 x 739
Step 2: Find the prime factorization of 9614
9614 = 2 x 11 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92361698 = 2 x 11 x 13 x 19 x 23 x 739
Step 4: Therefore, the least common multiple of 9607 and 9614 is 92361698.