Least Common Multiple of 9802 and 9806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9802 and 9806 the smallest integer that is 48059206 that is divisible by both numbers.

Least Common Multiple (LCM) of 9802 and 9806 is 48059206.

LCM(9802,9806) = 48059206

LCM of 9802 and 9806

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

LCM of:
and

Least Common Multiple of 9802 and 9806

LCM of 9802 and 9806 is 48059206

Least common multiple can be found by multiplying the highest exponent prime factors of 9802 and 9806. First we will calculate the prime factors of 9802 and 9806.

Prime Factorization of 9802


2 9802
13 4901
13 377
29 29
1

Prime factors of 9802 are 2, 13,29. Prime factorization of 9802 in exponential form is:

9802 = 21×132×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9802 and 9806.

LCM(9802,9806) = 21×132×291×49031
LCM(9802,9806) = 48059206

Factors of 9802

List of positive integer factors of 9802 that divides 9802 without a remainder.

1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802

Factors of 9806

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

1, 2, 4903, 9806

Least Common Multiple of 9802 and 9806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9802 and 9806, than apply into the LCM equation.

GCF(9802,9806) = 2
LCM(9802,9806) = ( 9802 × 9806) / 2
LCM(9802,9806) = 96118412 / 2
LCM(9802,9806) = 48059206

Properties of LCM 9802 and 9806

(i) The LCM of 9806 and 9802 is associative

LCM of 9802 and 9806 = LCM of 9806 and 9802

Related Least Common Multiples of 9802

Related Least Common Multiples of 9806

Frequently Asked Questions on LCM of 9802 and 9806

1. What is the LCM of 9802 and 9806?

Answer: LCM of 9802 and 9806 is 48059206.

2. What are the Factors of 9802?

Answer: Factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802. There are 12 integers that are factors of 9802. The greatest factor of 9802 is 9802.

3. 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.

4. How to Find the LCM of 9802 and 9806?

Answer:

Least Common Multiple of 9802 and 9806 = 48059206

Step 1: Find the prime factorization of 9802

9802 = 2 x 13 x 13 x 29

Step 2: Find the prime factorization of 9806

9806 = 2 x 4903

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

LCM = 48059206 = 2 x 13 x 13 x 29 x 4903

Step 4: Therefore, the least common multiple of 9802 and 9806 is 48059206.