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 9655 the smallest integer that is 93199715 that is divisible by both numbers.
Least Common Multiple (LCM) of 9653 and 9655 is 93199715.
LCM(9653,9655) = 93199715
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 9655. First we will calculate the prime factors of 9653 and 9655.
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 9655
5 | 9655 |
1931 | 1931 |
1 |
Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:
9655 = 51×19311
Now multiplying the highest exponent prime factors to calculate the LCM of 9653 and 9655.
LCM(9653,9655) = 51×72×1971×19311
LCM(9653,9655) = 93199715
Factors of 9653
List of positive integer factors of 9653 that divides 9653 without a remainder.
1, 7, 49, 197, 1379, 9653
Factors of 9655
List of positive integer factors of 9655 that divides 9655 without a remainder.
1, 5, 1931, 9655
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9653 and 9655, than apply into the LCM equation.
GCF(9653,9655) = 1
LCM(9653,9655) = ( 9653 × 9655) / 1
LCM(9653,9655) = 93199715 / 1
LCM(9653,9655) = 93199715
(i) The LCM of 9655 and 9653 is associative
LCM of 9653 and 9655 = LCM of 9655 and 9653
1. What is the LCM of 9653 and 9655?
Answer: LCM of 9653 and 9655 is 93199715.
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 9655?
Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.
4. How to Find the LCM of 9653 and 9655?
Answer:
Least Common Multiple of 9653 and 9655 = 93199715
Step 1: Find the prime factorization of 9653
9653 = 7 x 7 x 197
Step 2: Find the prime factorization of 9655
9655 = 5 x 1931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93199715 = 5 x 7 x 7 x 197 x 1931
Step 4: Therefore, the least common multiple of 9653 and 9655 is 93199715.