Least Common Multiple of 9613 and 9620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9613 and 9620 the smallest integer that is 92477060 that is divisible by both numbers.

Least Common Multiple (LCM) of 9613 and 9620 is 92477060.

LCM(9613,9620) = 92477060

LCM of 9613 and 9620

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

LCM of:
and

Least Common Multiple of 9613 and 9620

LCM of 9613 and 9620 is 92477060

Least common multiple can be found by multiplying the highest exponent prime factors of 9613 and 9620. First we will calculate the prime factors of 9613 and 9620.

Prime Factorization of 9613


9613 9613
1

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

9613 = 96131

Prime Factorization of 9620


2 9620
2 4810
5 2405
13 481
37 37
1

Prime factors of 9620 are 2, 5, 13,37. Prime factorization of 9620 in exponential form is:

9620 = 22×51×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9613 and 9620.

LCM(9613,9620) = 22×51×131×371×96131
LCM(9613,9620) = 92477060

Factors of 9613

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

1, 9613

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620

Least Common Multiple of 9613 and 9620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9613 and 9620, than apply into the LCM equation.

GCF(9613,9620) = 1
LCM(9613,9620) = ( 9613 × 9620) / 1
LCM(9613,9620) = 92477060 / 1
LCM(9613,9620) = 92477060

Properties of LCM 9613 and 9620

(i) The LCM of 9620 and 9613 is associative

LCM of 9613 and 9620 = LCM of 9620 and 9613

Related Least Common Multiples of 9613

Related Least Common Multiples of 9620

Frequently Asked Questions on LCM of 9613 and 9620

1. What is the LCM of 9613 and 9620?

Answer: LCM of 9613 and 9620 is 92477060.

2. 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.

3. What are the Factors of 9620?

Answer: Factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620. There are 24 integers that are factors of 9620. The greatest factor of 9620 is 9620.

4. How to Find the LCM of 9613 and 9620?

Answer:

Least Common Multiple of 9613 and 9620 = 92477060

Step 1: Find the prime factorization of 9613

9613 = 9613

Step 2: Find the prime factorization of 9620

9620 = 2 x 2 x 5 x 13 x 37

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

LCM = 92477060 = 2 x 2 x 5 x 13 x 37 x 9613

Step 4: Therefore, the least common multiple of 9613 and 9620 is 92477060.