Least Common Multiple of 9613 and 9621

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 9621 the smallest integer that is 92486673 that is divisible by both numbers.

Least Common Multiple (LCM) of 9613 and 9621 is 92486673.

LCM(9613,9621) = 92486673

LCM of 9613 and 9621

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

LCM of:
and

Least Common Multiple of 9613 and 9621

LCM of 9613 and 9621 is 92486673

Least common multiple can be found by multiplying the highest exponent prime factors of 9613 and 9621. First we will calculate the prime factors of 9613 and 9621.

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 9621


3 9621
3 3207
1069 1069
1

Prime factors of 9621 are 3,1069. Prime factorization of 9621 in exponential form is:

9621 = 32×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 9613 and 9621.

LCM(9613,9621) = 32×10691×96131
LCM(9613,9621) = 92486673

Factors of 9613

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

1, 9613

Factors of 9621

List of positive integer factors of 9621 that divides 9621 without a remainder.

1, 3, 9, 1069, 3207, 9621

Least Common Multiple of 9613 and 9621 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 9621, than apply into the LCM equation.

GCF(9613,9621) = 1
LCM(9613,9621) = ( 9613 × 9621) / 1
LCM(9613,9621) = 92486673 / 1
LCM(9613,9621) = 92486673

Properties of LCM 9613 and 9621

(i) The LCM of 9621 and 9613 is associative

LCM of 9613 and 9621 = LCM of 9621 and 9613

Related Least Common Multiples of 9613

Related Least Common Multiples of 9621

Frequently Asked Questions on LCM of 9613 and 9621

1. What is the LCM of 9613 and 9621?

Answer: LCM of 9613 and 9621 is 92486673.

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 9621?

Answer: Factors of 9621 are 1, 3, 9, 1069, 3207, 9621. There are 6 integers that are factors of 9621. The greatest factor of 9621 is 9621.

4. How to Find the LCM of 9613 and 9621?

Answer:

Least Common Multiple of 9613 and 9621 = 92486673

Step 1: Find the prime factorization of 9613

9613 = 9613

Step 2: Find the prime factorization of 9621

9621 = 3 x 3 x 1069

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

LCM = 92486673 = 3 x 3 x 1069 x 9613

Step 4: Therefore, the least common multiple of 9613 and 9621 is 92486673.