Least Common Multiple of 9808 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 9808 and 9816 the smallest integer that is 12034416 that is divisible by both numbers.

Least Common Multiple (LCM) of 9808 and 9816 is 12034416.

LCM(9808,9816) = 12034416

LCM of 9808 and 9816

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

LCM of:
and

Least Common Multiple of 9808 and 9816

LCM of 9808 and 9816 is 12034416

Least common multiple can be found by multiplying the highest exponent prime factors of 9808 and 9816. First we will calculate the prime factors of 9808 and 9816.

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 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 9808 and 9816.

LCM(9808,9816) = 24×31×4091×6131
LCM(9808,9816) = 12034416

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 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 9808 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 9808 and 9816, than apply into the LCM equation.

GCF(9808,9816) = 8
LCM(9808,9816) = ( 9808 × 9816) / 8
LCM(9808,9816) = 96275328 / 8
LCM(9808,9816) = 12034416

Properties of LCM 9808 and 9816

(i) The LCM of 9816 and 9808 is associative

LCM of 9808 and 9816 = LCM of 9816 and 9808

Related Least Common Multiples of 9808

Related Least Common Multiples of 9816

Frequently Asked Questions on LCM of 9808 and 9816

1. What is the LCM of 9808 and 9816?

Answer: LCM of 9808 and 9816 is 12034416.

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 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 9808 and 9816?

Answer:

Least Common Multiple of 9808 and 9816 = 12034416

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 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 = 12034416 = 2 x 2 x 2 x 2 x 3 x 409 x 613

Step 4: Therefore, the least common multiple of 9808 and 9816 is 12034416.