Least Common Multiple of 9806 and 9808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9806 and 9808 the smallest integer that is 48088624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9806 and 9808 is 48088624.

LCM(9806,9808) = 48088624

LCM of 9806 and 9808

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

LCM of:
and

Least Common Multiple of 9806 and 9808

LCM of 9806 and 9808 is 48088624

Least common multiple can be found by multiplying the highest exponent prime factors of 9806 and 9808. First we will calculate the prime factors of 9806 and 9808.

Prime Factorization of 9806


2 9806
4903 4903
1

Prime factors of 9806 are 2,4903. Prime factorization of 9806 in exponential form is:

9806 = 21×49031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9806 and 9808.

LCM(9806,9808) = 24×6131×49031
LCM(9806,9808) = 48088624

Factors of 9806

List of positive integer factors of 9806 that divides 9806 without a remainder.

1, 2, 4903, 9806

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

Least Common Multiple of 9806 and 9808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9806 and 9808, than apply into the LCM equation.

GCF(9806,9808) = 2
LCM(9806,9808) = ( 9806 × 9808) / 2
LCM(9806,9808) = 96177248 / 2
LCM(9806,9808) = 48088624

Properties of LCM 9806 and 9808

(i) The LCM of 9808 and 9806 is associative

LCM of 9806 and 9808 = LCM of 9808 and 9806

Related Least Common Multiples of 9806

Related Least Common Multiples of 9808

Frequently Asked Questions on LCM of 9806 and 9808

1. What is the LCM of 9806 and 9808?

Answer: LCM of 9806 and 9808 is 48088624.

2. What are the Factors of 9806?

Answer: Factors of 9806 are 1, 2, 4903, 9806. There are 4 integers that are factors of 9806. The greatest factor of 9806 is 9806.

3. 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.

4. How to Find the LCM of 9806 and 9808?

Answer:

Least Common Multiple of 9806 and 9808 = 48088624

Step 1: Find the prime factorization of 9806

9806 = 2 x 4903

Step 2: Find the prime factorization of 9808

9808 = 2 x 2 x 2 x 2 x 613

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

LCM = 48088624 = 2 x 2 x 2 x 2 x 613 x 4903

Step 4: Therefore, the least common multiple of 9806 and 9808 is 48088624.