Least Common Multiple of 9810 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 9810 and 9815 the smallest integer that is 19257030 that is divisible by both numbers.

Least Common Multiple (LCM) of 9810 and 9815 is 19257030.

LCM(9810,9815) = 19257030

LCM of 9810 and 9815

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

LCM of:
and

Least Common Multiple of 9810 and 9815

LCM of 9810 and 9815 is 19257030

Least common multiple can be found by multiplying the highest exponent prime factors of 9810 and 9815. First we will calculate the prime factors of 9810 and 9815.

Prime Factorization of 9810


2 9810
3 4905
3 1635
5 545
109 109
1

Prime factors of 9810 are 2, 3, 5,109. Prime factorization of 9810 in exponential form is:

9810 = 21×32×51×1091

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 9810 and 9815.

LCM(9810,9815) = 21×32×51×131×1091×1511
LCM(9810,9815) = 19257030

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810

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 9810 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 9810 and 9815, than apply into the LCM equation.

GCF(9810,9815) = 5
LCM(9810,9815) = ( 9810 × 9815) / 5
LCM(9810,9815) = 96285150 / 5
LCM(9810,9815) = 19257030

Properties of LCM 9810 and 9815

(i) The LCM of 9815 and 9810 is associative

LCM of 9810 and 9815 = LCM of 9815 and 9810

Related Least Common Multiples of 9810

Related Least Common Multiples of 9815

Frequently Asked Questions on LCM of 9810 and 9815

1. What is the LCM of 9810 and 9815?

Answer: LCM of 9810 and 9815 is 19257030.

2. What are the Factors of 9810?

Answer: Factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810. There are 24 integers that are factors of 9810. The greatest factor of 9810 is 9810.

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 9810 and 9815?

Answer:

Least Common Multiple of 9810 and 9815 = 19257030

Step 1: Find the prime factorization of 9810

9810 = 2 x 3 x 3 x 5 x 109

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 = 19257030 = 2 x 3 x 3 x 5 x 13 x 109 x 151

Step 4: Therefore, the least common multiple of 9810 and 9815 is 19257030.