Least Common Multiple of 9605 and 9610

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 9610 the smallest integer that is 18460810 that is divisible by both numbers.

Least Common Multiple (LCM) of 9605 and 9610 is 18460810.

LCM(9605,9610) = 18460810

LCM of 9605 and 9610

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9605 and 9610

LCM of 9605 and 9610 is 18460810

Least common multiple can be found by multiplying the highest exponent prime factors of 9605 and 9610. First we will calculate the prime factors of 9605 and 9610.

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 9610


2 9610
5 4805
31 961
31 31
1

Prime factors of 9610 are 2, 5,31. Prime factorization of 9610 in exponential form is:

9610 = 21×51×312

Now multiplying the highest exponent prime factors to calculate the LCM of 9605 and 9610.

LCM(9605,9610) = 21×51×171×312×1131
LCM(9605,9610) = 18460810

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 9610

List of positive integer factors of 9610 that divides 9610 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610

Least Common Multiple of 9605 and 9610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9605 and 9610, than apply into the LCM equation.

GCF(9605,9610) = 5
LCM(9605,9610) = ( 9605 × 9610) / 5
LCM(9605,9610) = 92304050 / 5
LCM(9605,9610) = 18460810

Properties of LCM 9605 and 9610

(i) The LCM of 9610 and 9605 is associative

LCM of 9605 and 9610 = LCM of 9610 and 9605

Related Least Common Multiples of 9605

Related Least Common Multiples of 9610

Frequently Asked Questions on LCM of 9605 and 9610

1. What is the LCM of 9605 and 9610?

Answer: LCM of 9605 and 9610 is 18460810.

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 9610?

Answer: Factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610. There are 12 integers that are factors of 9610. The greatest factor of 9610 is 9610.

4. How to Find the LCM of 9605 and 9610?

Answer:

Least Common Multiple of 9605 and 9610 = 18460810

Step 1: Find the prime factorization of 9605

9605 = 5 x 17 x 113

Step 2: Find the prime factorization of 9610

9610 = 2 x 5 x 31 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18460810 = 2 x 5 x 17 x 31 x 31 x 113

Step 4: Therefore, the least common multiple of 9605 and 9610 is 18460810.