Least Common Multiple of 9815 and 9820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9815 and 9820 the smallest integer that is 19276660 that is divisible by both numbers.

Least Common Multiple (LCM) of 9815 and 9820 is 19276660.

LCM(9815,9820) = 19276660

LCM of 9815 and 9820

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

LCM of:
and

Least Common Multiple of 9815 and 9820

LCM of 9815 and 9820 is 19276660

Least common multiple can be found by multiplying the highest exponent prime factors of 9815 and 9820. First we will calculate the prime factors of 9815 and 9820.

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

Prime Factorization of 9820


2 9820
2 4910
5 2455
491 491
1

Prime factors of 9820 are 2, 5,491. Prime factorization of 9820 in exponential form is:

9820 = 22×51×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 9815 and 9820.

LCM(9815,9820) = 22×51×131×1511×4911
LCM(9815,9820) = 19276660

Factors of 9815

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

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

Factors of 9820

List of positive integer factors of 9820 that divides 9820 without a remainder.

1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820

Least Common Multiple of 9815 and 9820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9815 and 9820, than apply into the LCM equation.

GCF(9815,9820) = 5
LCM(9815,9820) = ( 9815 × 9820) / 5
LCM(9815,9820) = 96383300 / 5
LCM(9815,9820) = 19276660

Properties of LCM 9815 and 9820

(i) The LCM of 9820 and 9815 is associative

LCM of 9815 and 9820 = LCM of 9820 and 9815

Related Least Common Multiples of 9815

Related Least Common Multiples of 9820

Frequently Asked Questions on LCM of 9815 and 9820

1. What is the LCM of 9815 and 9820?

Answer: LCM of 9815 and 9820 is 19276660.

2. 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.

3. What are the Factors of 9820?

Answer: Factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820. There are 12 integers that are factors of 9820. The greatest factor of 9820 is 9820.

4. How to Find the LCM of 9815 and 9820?

Answer:

Least Common Multiple of 9815 and 9820 = 19276660

Step 1: Find the prime factorization of 9815

9815 = 5 x 13 x 151

Step 2: Find the prime factorization of 9820

9820 = 2 x 2 x 5 x 491

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

LCM = 19276660 = 2 x 2 x 5 x 13 x 151 x 491

Step 4: Therefore, the least common multiple of 9815 and 9820 is 19276660.