Least Common Multiple of 9796 and 9802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9796 and 9802 the smallest integer that is 48010196 that is divisible by both numbers.

Least Common Multiple (LCM) of 9796 and 9802 is 48010196.

LCM(9796,9802) = 48010196

LCM of 9796 and 9802

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

LCM of:
and

Least Common Multiple of 9796 and 9802

LCM of 9796 and 9802 is 48010196

Least common multiple can be found by multiplying the highest exponent prime factors of 9796 and 9802. First we will calculate the prime factors of 9796 and 9802.

Prime Factorization of 9796


2 9796
2 4898
31 2449
79 79
1

Prime factors of 9796 are 2, 31,79. Prime factorization of 9796 in exponential form is:

9796 = 22×311×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9796 and 9802.

LCM(9796,9802) = 22×132×291×311×791
LCM(9796,9802) = 48010196

Factors of 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796

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

Least Common Multiple of 9796 and 9802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9796 and 9802, than apply into the LCM equation.

GCF(9796,9802) = 2
LCM(9796,9802) = ( 9796 × 9802) / 2
LCM(9796,9802) = 96020392 / 2
LCM(9796,9802) = 48010196

Properties of LCM 9796 and 9802

(i) The LCM of 9802 and 9796 is associative

LCM of 9796 and 9802 = LCM of 9802 and 9796

Related Least Common Multiples of 9796

Related Least Common Multiples of 9802

Frequently Asked Questions on LCM of 9796 and 9802

1. What is the LCM of 9796 and 9802?

Answer: LCM of 9796 and 9802 is 48010196.

2. What are the Factors of 9796?

Answer: Factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796. There are 12 integers that are factors of 9796. The greatest factor of 9796 is 9796.

3. 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.

4. How to Find the LCM of 9796 and 9802?

Answer:

Least Common Multiple of 9796 and 9802 = 48010196

Step 1: Find the prime factorization of 9796

9796 = 2 x 2 x 31 x 79

Step 2: Find the prime factorization of 9802

9802 = 2 x 13 x 13 x 29

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

LCM = 48010196 = 2 x 2 x 13 x 13 x 29 x 31 x 79

Step 4: Therefore, the least common multiple of 9796 and 9802 is 48010196.