Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9659 and 9664 the smallest integer that is 93344576 that is divisible by both numbers.
Least Common Multiple (LCM) of 9659 and 9664 is 93344576.
LCM(9659,9664) = 93344576
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 9659 and 9664. First we will calculate the prime factors of 9659 and 9664.
Prime Factorization of 9659
13 | 9659 |
743 | 743 |
1 |
Prime factors of 9659 are 13,743. Prime factorization of 9659 in exponential form is:
9659 = 131×7431
Prime Factorization of 9664
2 | 9664 |
2 | 4832 |
2 | 2416 |
2 | 1208 |
2 | 604 |
2 | 302 |
151 | 151 |
1 |
Prime factors of 9664 are 2,151. Prime factorization of 9664 in exponential form is:
9664 = 26×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 9659 and 9664.
LCM(9659,9664) = 26×131×1511×7431
LCM(9659,9664) = 93344576
Factors of 9659
List of positive integer factors of 9659 that divides 9659 without a remainder.
1, 13, 743, 9659
Factors of 9664
List of positive integer factors of 9664 that divides 9664 without a remainder.
1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9659 and 9664, than apply into the LCM equation.
GCF(9659,9664) = 1
LCM(9659,9664) = ( 9659 × 9664) / 1
LCM(9659,9664) = 93344576 / 1
LCM(9659,9664) = 93344576
(i) The LCM of 9664 and 9659 is associative
LCM of 9659 and 9664 = LCM of 9664 and 9659
1. What is the LCM of 9659 and 9664?
Answer: LCM of 9659 and 9664 is 93344576.
2. What are the Factors of 9659?
Answer: Factors of 9659 are 1, 13, 743, 9659. There are 4 integers that are factors of 9659. The greatest factor of 9659 is 9659.
3. What are the Factors of 9664?
Answer: Factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664. There are 14 integers that are factors of 9664. The greatest factor of 9664 is 9664.
4. How to Find the LCM of 9659 and 9664?
Answer:
Least Common Multiple of 9659 and 9664 = 93344576
Step 1: Find the prime factorization of 9659
9659 = 13 x 743
Step 2: Find the prime factorization of 9664
9664 = 2 x 2 x 2 x 2 x 2 x 2 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93344576 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 151 x 743
Step 4: Therefore, the least common multiple of 9659 and 9664 is 93344576.