Least Common Multiple of 9809 and 9815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9809 and 9815 the smallest integer that is 96275335 that is divisible by both numbers.

Least Common Multiple (LCM) of 9809 and 9815 is 96275335.

LCM(9809,9815) = 96275335

LCM of 9809 and 9815

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

LCM of:
and

Least Common Multiple of 9809 and 9815

LCM of 9809 and 9815 is 96275335

Least common multiple can be found by multiplying the highest exponent prime factors of 9809 and 9815. First we will calculate the prime factors of 9809 and 9815.

Prime Factorization of 9809


17 9809
577 577
1

Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:

9809 = 171×5771

Prime Factorization of 9815


5 9815
13 1963
151 151
1

Prime factors of 9815 are 5, 13,151. Prime factorization of 9815 in exponential form is:

9815 = 51×131×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9809 and 9815.

LCM(9809,9815) = 51×131×171×1511×5771
LCM(9809,9815) = 96275335

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1, 17, 577, 9809

Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1, 5, 13, 65, 151, 755, 1963, 9815

Least Common Multiple of 9809 and 9815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9809 and 9815, than apply into the LCM equation.

GCF(9809,9815) = 1
LCM(9809,9815) = ( 9809 × 9815) / 1
LCM(9809,9815) = 96275335 / 1
LCM(9809,9815) = 96275335

Properties of LCM 9809 and 9815

(i) The LCM of 9815 and 9809 is associative

LCM of 9809 and 9815 = LCM of 9815 and 9809

Related Least Common Multiples of 9809

Related Least Common Multiples of 9815

Frequently Asked Questions on LCM of 9809 and 9815

1. What is the LCM of 9809 and 9815?

Answer: LCM of 9809 and 9815 is 96275335.

2. What are the Factors of 9809?

Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.

3. What are the Factors of 9815?

Answer: Factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815. There are 8 integers that are factors of 9815. The greatest factor of 9815 is 9815.

4. How to Find the LCM of 9809 and 9815?

Answer:

Least Common Multiple of 9809 and 9815 = 96275335

Step 1: Find the prime factorization of 9809

9809 = 17 x 577

Step 2: Find the prime factorization of 9815

9815 = 5 x 13 x 151

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

LCM = 96275335 = 5 x 13 x 17 x 151 x 577

Step 4: Therefore, the least common multiple of 9809 and 9815 is 96275335.