Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9643 and 9649 the smallest integer that is 93045307 that is divisible by both numbers.
Least Common Multiple (LCM) of 9643 and 9649 is 93045307.
LCM(9643,9649) = 93045307
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 9643 and 9649. First we will calculate the prime factors of 9643 and 9649.
Prime Factorization of 9643
9643 | 9643 |
1 |
Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:
9643 = 96431
Prime Factorization of 9649
9649 | 9649 |
1 |
Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:
9649 = 96491
Now multiplying the highest exponent prime factors to calculate the LCM of 9643 and 9649.
LCM(9643,9649) = 96431×96491
LCM(9643,9649) = 93045307
Factors of 9643
List of positive integer factors of 9643 that divides 9643 without a remainder.
1, 9643
Factors of 9649
List of positive integer factors of 9649 that divides 9649 without a remainder.
1, 9649
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9643 and 9649, than apply into the LCM equation.
GCF(9643,9649) = 1
LCM(9643,9649) = ( 9643 × 9649) / 1
LCM(9643,9649) = 93045307 / 1
LCM(9643,9649) = 93045307
(i) The LCM of 9649 and 9643 is associative
LCM of 9643 and 9649 = LCM of 9649 and 9643
1. What is the LCM of 9643 and 9649?
Answer: LCM of 9643 and 9649 is 93045307.
2. What are the Factors of 9643?
Answer: Factors of 9643 are 1, 9643. There are 2 integers that are factors of 9643. The greatest factor of 9643 is 9643.
3. What are the Factors of 9649?
Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.
4. How to Find the LCM of 9643 and 9649?
Answer:
Least Common Multiple of 9643 and 9649 = 93045307
Step 1: Find the prime factorization of 9643
9643 = 9643
Step 2: Find the prime factorization of 9649
9649 = 9649
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93045307 = 9643 x 9649
Step 4: Therefore, the least common multiple of 9643 and 9649 is 93045307.