Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9465 and 9469 the smallest integer that is 89624085 that is divisible by both numbers.
Least Common Multiple (LCM) of 9465 and 9469 is 89624085.
LCM(9465,9469) = 89624085
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 9465 and 9469. First we will calculate the prime factors of 9465 and 9469.
Prime Factorization of 9465
3 | 9465 |
5 | 3155 |
631 | 631 |
1 |
Prime factors of 9465 are 3, 5,631. Prime factorization of 9465 in exponential form is:
9465 = 31×51×6311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9465 and 9469.
LCM(9465,9469) = 31×51×171×5571×6311
LCM(9465,9469) = 89624085
Factors of 9465
List of positive integer factors of 9465 that divides 9465 without a remainder.
1, 3, 5, 15, 631, 1893, 3155, 9465
Factors of 9469
List of positive integer factors of 9469 that divides 9469 without a remainder.
1, 17, 557, 9469
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9465 and 9469, than apply into the LCM equation.
GCF(9465,9469) = 1
LCM(9465,9469) = ( 9465 × 9469) / 1
LCM(9465,9469) = 89624085 / 1
LCM(9465,9469) = 89624085
(i) The LCM of 9469 and 9465 is associative
LCM of 9465 and 9469 = LCM of 9469 and 9465
1. What is the LCM of 9465 and 9469?
Answer: LCM of 9465 and 9469 is 89624085.
2. What are the Factors of 9465?
Answer: Factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465. There are 8 integers that are factors of 9465. The greatest factor of 9465 is 9465.
3. 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.
4. How to Find the LCM of 9465 and 9469?
Answer:
Least Common Multiple of 9465 and 9469 = 89624085
Step 1: Find the prime factorization of 9465
9465 = 3 x 5 x 631
Step 2: Find the prime factorization of 9469
9469 = 17 x 557
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89624085 = 3 x 5 x 17 x 557 x 631
Step 4: Therefore, the least common multiple of 9465 and 9469 is 89624085.