Least Common Multiple of 9808 and 9812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9808 and 9812 the smallest integer that is 24059024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9808 and 9812 is 24059024.

LCM(9808,9812) = 24059024

LCM of 9808 and 9812

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

LCM of:
and

Least Common Multiple of 9808 and 9812

LCM of 9808 and 9812 is 24059024

Least common multiple can be found by multiplying the highest exponent prime factors of 9808 and 9812. First we will calculate the prime factors of 9808 and 9812.

Prime Factorization of 9808


2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 9808 are 2,613. Prime factorization of 9808 in exponential form is:

9808 = 24×6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9808 and 9812.

LCM(9808,9812) = 24×111×2231×6131
LCM(9808,9812) = 24059024

Factors of 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808

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

Least Common Multiple of 9808 and 9812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9808 and 9812, than apply into the LCM equation.

GCF(9808,9812) = 4
LCM(9808,9812) = ( 9808 × 9812) / 4
LCM(9808,9812) = 96236096 / 4
LCM(9808,9812) = 24059024

Properties of LCM 9808 and 9812

(i) The LCM of 9812 and 9808 is associative

LCM of 9808 and 9812 = LCM of 9812 and 9808

Related Least Common Multiples of 9808

Related Least Common Multiples of 9812

Frequently Asked Questions on LCM of 9808 and 9812

1. What is the LCM of 9808 and 9812?

Answer: LCM of 9808 and 9812 is 24059024.

2. What are the Factors of 9808?

Answer: Factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808. There are 10 integers that are factors of 9808. The greatest factor of 9808 is 9808.

3. 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.

4. How to Find the LCM of 9808 and 9812?

Answer:

Least Common Multiple of 9808 and 9812 = 24059024

Step 1: Find the prime factorization of 9808

9808 = 2 x 2 x 2 x 2 x 613

Step 2: Find the prime factorization of 9812

9812 = 2 x 2 x 11 x 223

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

LCM = 24059024 = 2 x 2 x 2 x 2 x 11 x 223 x 613

Step 4: Therefore, the least common multiple of 9808 and 9812 is 24059024.