Least Common Multiple of 9794 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 9794 and 9802 the smallest integer that is 48000394 that is divisible by both numbers.

Least Common Multiple (LCM) of 9794 and 9802 is 48000394.

LCM(9794,9802) = 48000394

LCM of 9794 and 9802

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

LCM of:
and

Least Common Multiple of 9794 and 9802

LCM of 9794 and 9802 is 48000394

Least common multiple can be found by multiplying the highest exponent prime factors of 9794 and 9802. First we will calculate the prime factors of 9794 and 9802.

Prime Factorization of 9794


2 9794
59 4897
83 83
1

Prime factors of 9794 are 2, 59,83. Prime factorization of 9794 in exponential form is:

9794 = 21×591×831

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 9794 and 9802.

LCM(9794,9802) = 21×132×291×591×831
LCM(9794,9802) = 48000394

Factors of 9794

List of positive integer factors of 9794 that divides 9794 without a remainder.

1, 2, 59, 83, 118, 166, 4897, 9794

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 9794 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 9794 and 9802, than apply into the LCM equation.

GCF(9794,9802) = 2
LCM(9794,9802) = ( 9794 × 9802) / 2
LCM(9794,9802) = 96000788 / 2
LCM(9794,9802) = 48000394

Properties of LCM 9794 and 9802

(i) The LCM of 9802 and 9794 is associative

LCM of 9794 and 9802 = LCM of 9802 and 9794

Related Least Common Multiples of 9794

Related Least Common Multiples of 9802

Frequently Asked Questions on LCM of 9794 and 9802

1. What is the LCM of 9794 and 9802?

Answer: LCM of 9794 and 9802 is 48000394.

2. What are the Factors of 9794?

Answer: Factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794. There are 8 integers that are factors of 9794. The greatest factor of 9794 is 9794.

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 9794 and 9802?

Answer:

Least Common Multiple of 9794 and 9802 = 48000394

Step 1: Find the prime factorization of 9794

9794 = 2 x 59 x 83

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 = 48000394 = 2 x 13 x 13 x 29 x 59 x 83

Step 4: Therefore, the least common multiple of 9794 and 9802 is 48000394.