Least Common Multiple of 9802 and 9807

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 9807 the smallest integer that is 96128214 that is divisible by both numbers.

Least Common Multiple (LCM) of 9802 and 9807 is 96128214.

LCM(9802,9807) = 96128214

LCM of 9802 and 9807

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

LCM of:
and

Least Common Multiple of 9802 and 9807

LCM of 9802 and 9807 is 96128214

Least common multiple can be found by multiplying the highest exponent prime factors of 9802 and 9807. First we will calculate the prime factors of 9802 and 9807.

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 9807


3 9807
7 3269
467 467
1

Prime factors of 9807 are 3, 7,467. Prime factorization of 9807 in exponential form is:

9807 = 31×71×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 9802 and 9807.

LCM(9802,9807) = 21×31×71×132×291×4671
LCM(9802,9807) = 96128214

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 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1, 3, 7, 21, 467, 1401, 3269, 9807

Least Common Multiple of 9802 and 9807 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 9807, than apply into the LCM equation.

GCF(9802,9807) = 1
LCM(9802,9807) = ( 9802 × 9807) / 1
LCM(9802,9807) = 96128214 / 1
LCM(9802,9807) = 96128214

Properties of LCM 9802 and 9807

(i) The LCM of 9807 and 9802 is associative

LCM of 9802 and 9807 = LCM of 9807 and 9802

Related Least Common Multiples of 9802

Related Least Common Multiples of 9807

Frequently Asked Questions on LCM of 9802 and 9807

1. What is the LCM of 9802 and 9807?

Answer: LCM of 9802 and 9807 is 96128214.

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 9807?

Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.

4. How to Find the LCM of 9802 and 9807?

Answer:

Least Common Multiple of 9802 and 9807 = 96128214

Step 1: Find the prime factorization of 9802

9802 = 2 x 13 x 13 x 29

Step 2: Find the prime factorization of 9807

9807 = 3 x 7 x 467

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

LCM = 96128214 = 2 x 3 x 7 x 13 x 13 x 29 x 467

Step 4: Therefore, the least common multiple of 9802 and 9807 is 96128214.