Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9653 and 9658 the smallest integer that is 93228674 that is divisible by both numbers.
Least Common Multiple (LCM) of 9653 and 9658 is 93228674.
LCM(9653,9658) = 93228674
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9653 and 9658. First we will calculate the prime factors of 9653 and 9658.
Prime Factorization of 9653
7 | 9653 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 9653 are 7,197. Prime factorization of 9653 in exponential form is:
9653 = 72×1971
Prime Factorization of 9658
2 | 9658 |
11 | 4829 |
439 | 439 |
1 |
Prime factors of 9658 are 2, 11,439. Prime factorization of 9658 in exponential form is:
9658 = 21×111×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 9653 and 9658.
LCM(9653,9658) = 21×72×111×1971×4391
LCM(9653,9658) = 93228674
Factors of 9653
List of positive integer factors of 9653 that divides 9653 without a remainder.
1, 7, 49, 197, 1379, 9653
Factors of 9658
List of positive integer factors of 9658 that divides 9658 without a remainder.
1, 2, 11, 22, 439, 878, 4829, 9658
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9653 and 9658, than apply into the LCM equation.
GCF(9653,9658) = 1
LCM(9653,9658) = ( 9653 × 9658) / 1
LCM(9653,9658) = 93228674 / 1
LCM(9653,9658) = 93228674
(i) The LCM of 9658 and 9653 is associative
LCM of 9653 and 9658 = LCM of 9658 and 9653
1. What is the LCM of 9653 and 9658?
Answer: LCM of 9653 and 9658 is 93228674.
2. What are the Factors of 9653?
Answer: Factors of 9653 are 1, 7, 49, 197, 1379, 9653. There are 6 integers that are factors of 9653. The greatest factor of 9653 is 9653.
3. What are the Factors of 9658?
Answer: Factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658. There are 8 integers that are factors of 9658. The greatest factor of 9658 is 9658.
4. How to Find the LCM of 9653 and 9658?
Answer:
Least Common Multiple of 9653 and 9658 = 93228674
Step 1: Find the prime factorization of 9653
9653 = 7 x 7 x 197
Step 2: Find the prime factorization of 9658
9658 = 2 x 11 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93228674 = 2 x 7 x 7 x 11 x 197 x 439
Step 4: Therefore, the least common multiple of 9653 and 9658 is 93228674.