Least Common Multiple of 9607 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 9607 and 9613 the smallest integer that is 92352091 that is divisible by both numbers.

Least Common Multiple (LCM) of 9607 and 9613 is 92352091.

LCM(9607,9613) = 92352091

LCM of 9607 and 9613

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

LCM of:
and

Least Common Multiple of 9607 and 9613

LCM of 9607 and 9613 is 92352091

Least common multiple can be found by multiplying the highest exponent prime factors of 9607 and 9613. First we will calculate the prime factors of 9607 and 9613.

Prime Factorization of 9607


13 9607
739 739
1

Prime factors of 9607 are 13,739. Prime factorization of 9607 in exponential form is:

9607 = 131×7391

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 9607 and 9613.

LCM(9607,9613) = 131×7391×96131
LCM(9607,9613) = 92352091

Factors of 9607

List of positive integer factors of 9607 that divides 9607 without a remainder.

1, 13, 739, 9607

Factors of 9613

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

1, 9613

Least Common Multiple of 9607 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 9607 and 9613, than apply into the LCM equation.

GCF(9607,9613) = 1
LCM(9607,9613) = ( 9607 × 9613) / 1
LCM(9607,9613) = 92352091 / 1
LCM(9607,9613) = 92352091

Properties of LCM 9607 and 9613

(i) The LCM of 9613 and 9607 is associative

LCM of 9607 and 9613 = LCM of 9613 and 9607

Related Least Common Multiples of 9607

Related Least Common Multiples of 9613

Frequently Asked Questions on LCM of 9607 and 9613

1. What is the LCM of 9607 and 9613?

Answer: LCM of 9607 and 9613 is 92352091.

2. What are the Factors of 9607?

Answer: Factors of 9607 are 1, 13, 739, 9607. There are 4 integers that are factors of 9607. The greatest factor of 9607 is 9607.

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 9607 and 9613?

Answer:

Least Common Multiple of 9607 and 9613 = 92352091

Step 1: Find the prime factorization of 9607

9607 = 13 x 739

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 = 92352091 = 13 x 739 x 9613

Step 4: Therefore, the least common multiple of 9607 and 9613 is 92352091.