Least Common Multiple of 9812 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 9812 and 9816 the smallest integer that is 24078648 that is divisible by both numbers.

Least Common Multiple (LCM) of 9812 and 9816 is 24078648.

LCM(9812,9816) = 24078648

LCM of 9812 and 9816

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

LCM of:
and

Least Common Multiple of 9812 and 9816

LCM of 9812 and 9816 is 24078648

Least common multiple can be found by multiplying the highest exponent prime factors of 9812 and 9816. First we will calculate the prime factors of 9812 and 9816.

Prime Factorization of 9812


2 9812
2 4906
11 2453
223 223
1

Prime factors of 9812 are 2, 11,223. Prime factorization of 9812 in exponential form is:

9812 = 22×111×2231

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 9812 and 9816.

LCM(9812,9816) = 23×31×111×2231×4091
LCM(9812,9816) = 24078648

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

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 9812 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 9812 and 9816, than apply into the LCM equation.

GCF(9812,9816) = 4
LCM(9812,9816) = ( 9812 × 9816) / 4
LCM(9812,9816) = 96314592 / 4
LCM(9812,9816) = 24078648

Properties of LCM 9812 and 9816

(i) The LCM of 9816 and 9812 is associative

LCM of 9812 and 9816 = LCM of 9816 and 9812

Related Least Common Multiples of 9812

Related Least Common Multiples of 9816

Frequently Asked Questions on LCM of 9812 and 9816

1. What is the LCM of 9812 and 9816?

Answer: LCM of 9812 and 9816 is 24078648.

2. What are the Factors of 9812?

Answer: Factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812. There are 12 integers that are factors of 9812. The greatest factor of 9812 is 9812.

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 9812 and 9816?

Answer:

Least Common Multiple of 9812 and 9816 = 24078648

Step 1: Find the prime factorization of 9812

9812 = 2 x 2 x 11 x 223

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 = 24078648 = 2 x 2 x 2 x 3 x 11 x 223 x 409

Step 4: Therefore, the least common multiple of 9812 and 9816 is 24078648.