Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9605 and 9609 the smallest integer that is 92294445 that is divisible by both numbers.
Least Common Multiple (LCM) of 9605 and 9609 is 92294445.
LCM(9605,9609) = 92294445
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 9605 and 9609. First we will calculate the prime factors of 9605 and 9609.
Prime Factorization of 9605
5 | 9605 |
17 | 1921 |
113 | 113 |
1 |
Prime factors of 9605 are 5, 17,113. Prime factorization of 9605 in exponential form is:
9605 = 51×171×1131
Prime Factorization of 9609
3 | 9609 |
3203 | 3203 |
1 |
Prime factors of 9609 are 3,3203. Prime factorization of 9609 in exponential form is:
9609 = 31×32031
Now multiplying the highest exponent prime factors to calculate the LCM of 9605 and 9609.
LCM(9605,9609) = 31×51×171×1131×32031
LCM(9605,9609) = 92294445
Factors of 9605
List of positive integer factors of 9605 that divides 9605 without a remainder.
1, 5, 17, 85, 113, 565, 1921, 9605
Factors of 9609
List of positive integer factors of 9609 that divides 9609 without a remainder.
1, 3, 3203, 9609
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9605 and 9609, than apply into the LCM equation.
GCF(9605,9609) = 1
LCM(9605,9609) = ( 9605 × 9609) / 1
LCM(9605,9609) = 92294445 / 1
LCM(9605,9609) = 92294445
(i) The LCM of 9609 and 9605 is associative
LCM of 9605 and 9609 = LCM of 9609 and 9605
1. What is the LCM of 9605 and 9609?
Answer: LCM of 9605 and 9609 is 92294445.
2. What are the Factors of 9605?
Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.
3. What are the Factors of 9609?
Answer: Factors of 9609 are 1, 3, 3203, 9609. There are 4 integers that are factors of 9609. The greatest factor of 9609 is 9609.
4. How to Find the LCM of 9605 and 9609?
Answer:
Least Common Multiple of 9605 and 9609 = 92294445
Step 1: Find the prime factorization of 9605
9605 = 5 x 17 x 113
Step 2: Find the prime factorization of 9609
9609 = 3 x 3203
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92294445 = 3 x 5 x 17 x 113 x 3203
Step 4: Therefore, the least common multiple of 9605 and 9609 is 92294445.