Least Common Multiple of 9807 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 9807 and 9815 the smallest integer that is 96255705 that is divisible by both numbers.

Least Common Multiple (LCM) of 9807 and 9815 is 96255705.

LCM(9807,9815) = 96255705

LCM of 9807 and 9815

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

LCM of:
and

Least Common Multiple of 9807 and 9815

LCM of 9807 and 9815 is 96255705

Least common multiple can be found by multiplying the highest exponent prime factors of 9807 and 9815. First we will calculate the prime factors of 9807 and 9815.

Prime Factorization of 9807


3 9807
7 3269
467 467
1

Prime factors of 9807 are 3, 7,467. Prime factorization of 9807 in exponential form is:

9807 = 31×71×4671

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 9807 and 9815.

LCM(9807,9815) = 31×51×71×131×1511×4671
LCM(9807,9815) = 96255705

Factors of 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1, 3, 7, 21, 467, 1401, 3269, 9807

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 9807 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 9807 and 9815, than apply into the LCM equation.

GCF(9807,9815) = 1
LCM(9807,9815) = ( 9807 × 9815) / 1
LCM(9807,9815) = 96255705 / 1
LCM(9807,9815) = 96255705

Properties of LCM 9807 and 9815

(i) The LCM of 9815 and 9807 is associative

LCM of 9807 and 9815 = LCM of 9815 and 9807

Related Least Common Multiples of 9807

Related Least Common Multiples of 9815

Frequently Asked Questions on LCM of 9807 and 9815

1. What is the LCM of 9807 and 9815?

Answer: LCM of 9807 and 9815 is 96255705.

2. What are the Factors of 9807?

Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.

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 9807 and 9815?

Answer:

Least Common Multiple of 9807 and 9815 = 96255705

Step 1: Find the prime factorization of 9807

9807 = 3 x 7 x 467

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 = 96255705 = 3 x 5 x 7 x 13 x 151 x 467

Step 4: Therefore, the least common multiple of 9807 and 9815 is 96255705.