Least Common Multiple of 9605 and 9613

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 9613 the smallest integer that is 92332865 that is divisible by both numbers.

Least Common Multiple (LCM) of 9605 and 9613 is 92332865.

LCM(9605,9613) = 92332865

LCM of 9605 and 9613

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

LCM of:
and

Least Common Multiple of 9605 and 9613

LCM of 9605 and 9613 is 92332865

Least common multiple can be found by multiplying the highest exponent prime factors of 9605 and 9613. First we will calculate the prime factors of 9605 and 9613.

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 9613


9613 9613
1

Prime factors of 9613 are 9613. Prime factorization of 9613 in exponential form is:

9613 = 96131

Now multiplying the highest exponent prime factors to calculate the LCM of 9605 and 9613.

LCM(9605,9613) = 51×171×1131×96131
LCM(9605,9613) = 92332865

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 9613

List of positive integer factors of 9613 that divides 9613 without a remainder.

1, 9613

Least Common Multiple of 9605 and 9613 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 9613, than apply into the LCM equation.

GCF(9605,9613) = 1
LCM(9605,9613) = ( 9605 × 9613) / 1
LCM(9605,9613) = 92332865 / 1
LCM(9605,9613) = 92332865

Properties of LCM 9605 and 9613

(i) The LCM of 9613 and 9605 is associative

LCM of 9605 and 9613 = LCM of 9613 and 9605

Related Least Common Multiples of 9605

Related Least Common Multiples of 9613

Frequently Asked Questions on LCM of 9605 and 9613

1. What is the LCM of 9605 and 9613?

Answer: LCM of 9605 and 9613 is 92332865.

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 9613?

Answer: Factors of 9613 are 1, 9613. There are 2 integers that are factors of 9613. The greatest factor of 9613 is 9613.

4. How to Find the LCM of 9605 and 9613?

Answer:

Least Common Multiple of 9605 and 9613 = 92332865

Step 1: Find the prime factorization of 9605

9605 = 5 x 17 x 113

Step 2: Find the prime factorization of 9613

9613 = 9613

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

LCM = 92332865 = 5 x 17 x 113 x 9613

Step 4: Therefore, the least common multiple of 9605 and 9613 is 92332865.