Least Common Multiple of 9794 and 9801

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 9801 the smallest integer that is 95990994 that is divisible by both numbers.

Least Common Multiple (LCM) of 9794 and 9801 is 95990994.

LCM(9794,9801) = 95990994

LCM of 9794 and 9801

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

LCM of:
and

Least Common Multiple of 9794 and 9801

LCM of 9794 and 9801 is 95990994

Least common multiple can be found by multiplying the highest exponent prime factors of 9794 and 9801. First we will calculate the prime factors of 9794 and 9801.

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 9801


3 9801
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 9801 are 3,11. Prime factorization of 9801 in exponential form is:

9801 = 34×112

Now multiplying the highest exponent prime factors to calculate the LCM of 9794 and 9801.

LCM(9794,9801) = 21×34×112×591×831
LCM(9794,9801) = 95990994

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 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801

Least Common Multiple of 9794 and 9801 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 9801, than apply into the LCM equation.

GCF(9794,9801) = 1
LCM(9794,9801) = ( 9794 × 9801) / 1
LCM(9794,9801) = 95990994 / 1
LCM(9794,9801) = 95990994

Properties of LCM 9794 and 9801

(i) The LCM of 9801 and 9794 is associative

LCM of 9794 and 9801 = LCM of 9801 and 9794

Related Least Common Multiples of 9794

Related Least Common Multiples of 9801

Frequently Asked Questions on LCM of 9794 and 9801

1. What is the LCM of 9794 and 9801?

Answer: LCM of 9794 and 9801 is 95990994.

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 9801?

Answer: Factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801. There are 15 integers that are factors of 9801. The greatest factor of 9801 is 9801.

4. How to Find the LCM of 9794 and 9801?

Answer:

Least Common Multiple of 9794 and 9801 = 95990994

Step 1: Find the prime factorization of 9794

9794 = 2 x 59 x 83

Step 2: Find the prime factorization of 9801

9801 = 3 x 3 x 3 x 3 x 11 x 11

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

LCM = 95990994 = 2 x 3 x 3 x 3 x 3 x 11 x 11 x 59 x 83

Step 4: Therefore, the least common multiple of 9794 and 9801 is 95990994.