Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9469 and 9473 the smallest integer that is 89699837 that is divisible by both numbers.
Least Common Multiple (LCM) of 9469 and 9473 is 89699837.
LCM(9469,9473) = 89699837
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 9469 and 9473. First we will calculate the prime factors of 9469 and 9473.
Prime Factorization of 9469
17 | 9469 |
557 | 557 |
1 |
Prime factors of 9469 are 17,557. Prime factorization of 9469 in exponential form is:
9469 = 171×5571
Prime Factorization of 9473
9473 | 9473 |
1 |
Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:
9473 = 94731
Now multiplying the highest exponent prime factors to calculate the LCM of 9469 and 9473.
LCM(9469,9473) = 171×5571×94731
LCM(9469,9473) = 89699837
Factors of 9469
List of positive integer factors of 9469 that divides 9469 without a remainder.
1, 17, 557, 9469
Factors of 9473
List of positive integer factors of 9473 that divides 9473 without a remainder.
1, 9473
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9469 and 9473, than apply into the LCM equation.
GCF(9469,9473) = 1
LCM(9469,9473) = ( 9469 × 9473) / 1
LCM(9469,9473) = 89699837 / 1
LCM(9469,9473) = 89699837
(i) The LCM of 9473 and 9469 is associative
LCM of 9469 and 9473 = LCM of 9473 and 9469
1. What is the LCM of 9469 and 9473?
Answer: LCM of 9469 and 9473 is 89699837.
2. What are the Factors of 9469?
Answer: Factors of 9469 are 1, 17, 557, 9469. There are 4 integers that are factors of 9469. The greatest factor of 9469 is 9469.
3. What are the Factors of 9473?
Answer: Factors of 9473 are 1, 9473. There are 2 integers that are factors of 9473. The greatest factor of 9473 is 9473.
4. How to Find the LCM of 9469 and 9473?
Answer:
Least Common Multiple of 9469 and 9473 = 89699837
Step 1: Find the prime factorization of 9469
9469 = 17 x 557
Step 2: Find the prime factorization of 9473
9473 = 9473
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89699837 = 17 x 557 x 9473
Step 4: Therefore, the least common multiple of 9469 and 9473 is 89699837.