Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9671 and 9673 the smallest integer that is 93547583 that is divisible by both numbers.
Least Common Multiple (LCM) of 9671 and 9673 is 93547583.
LCM(9671,9673) = 93547583
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 9671 and 9673. First we will calculate the prime factors of 9671 and 9673.
Prime Factorization of 9671
19 | 9671 |
509 | 509 |
1 |
Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:
9671 = 191×5091
Prime Factorization of 9673
17 | 9673 |
569 | 569 |
1 |
Prime factors of 9673 are 17,569. Prime factorization of 9673 in exponential form is:
9673 = 171×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 9671 and 9673.
LCM(9671,9673) = 171×191×5091×5691
LCM(9671,9673) = 93547583
Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1, 19, 509, 9671
Factors of 9673
List of positive integer factors of 9673 that divides 9673 without a remainder.
1, 17, 569, 9673
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9671 and 9673, than apply into the LCM equation.
GCF(9671,9673) = 1
LCM(9671,9673) = ( 9671 × 9673) / 1
LCM(9671,9673) = 93547583 / 1
LCM(9671,9673) = 93547583
(i) The LCM of 9673 and 9671 is associative
LCM of 9671 and 9673 = LCM of 9673 and 9671
1. What is the LCM of 9671 and 9673?
Answer: LCM of 9671 and 9673 is 93547583.
2. What are the Factors of 9671?
Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.
3. What are the Factors of 9673?
Answer: Factors of 9673 are 1, 17, 569, 9673. There are 4 integers that are factors of 9673. The greatest factor of 9673 is 9673.
4. How to Find the LCM of 9671 and 9673?
Answer:
Least Common Multiple of 9671 and 9673 = 93547583
Step 1: Find the prime factorization of 9671
9671 = 19 x 509
Step 2: Find the prime factorization of 9673
9673 = 17 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93547583 = 17 x 19 x 509 x 569
Step 4: Therefore, the least common multiple of 9671 and 9673 is 93547583.