Least Common Multiple of 9810 and 9816

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 9816 the smallest integer that is 16049160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9810 and 9816 is 16049160.

LCM(9810,9816) = 16049160

LCM of 9810 and 9816

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

LCM of:
and

Least Common Multiple of 9810 and 9816

LCM of 9810 and 9816 is 16049160

Least common multiple can be found by multiplying the highest exponent prime factors of 9810 and 9816. First we will calculate the prime factors of 9810 and 9816.

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 9816


2 9816
2 4908
2 2454
3 1227
409 409
1

Prime factors of 9816 are 2, 3,409. Prime factorization of 9816 in exponential form is:

9816 = 23×31×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 9810 and 9816.

LCM(9810,9816) = 23×32×51×1091×4091
LCM(9810,9816) = 16049160

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 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816

Least Common Multiple of 9810 and 9816 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 9816, than apply into the LCM equation.

GCF(9810,9816) = 6
LCM(9810,9816) = ( 9810 × 9816) / 6
LCM(9810,9816) = 96294960 / 6
LCM(9810,9816) = 16049160

Properties of LCM 9810 and 9816

(i) The LCM of 9816 and 9810 is associative

LCM of 9810 and 9816 = LCM of 9816 and 9810

Related Least Common Multiples of 9810

Related Least Common Multiples of 9816

Frequently Asked Questions on LCM of 9810 and 9816

1. What is the LCM of 9810 and 9816?

Answer: LCM of 9810 and 9816 is 16049160.

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 9816?

Answer: Factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816. There are 16 integers that are factors of 9816. The greatest factor of 9816 is 9816.

4. How to Find the LCM of 9810 and 9816?

Answer:

Least Common Multiple of 9810 and 9816 = 16049160

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 9816

9816 = 2 x 2 x 2 x 3 x 409

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

LCM = 16049160 = 2 x 2 x 2 x 3 x 3 x 5 x 109 x 409

Step 4: Therefore, the least common multiple of 9810 and 9816 is 16049160.