Least Common Multiple of 9788 and 9794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9788 and 9794 the smallest integer that is 47931836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9788 and 9794 is 47931836.

LCM(9788,9794) = 47931836

LCM of 9788 and 9794

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

LCM of:
and

Least Common Multiple of 9788 and 9794

LCM of 9788 and 9794 is 47931836

Least common multiple can be found by multiplying the highest exponent prime factors of 9788 and 9794. First we will calculate the prime factors of 9788 and 9794.

Prime Factorization of 9788


2 9788
2 4894
2447 2447
1

Prime factors of 9788 are 2,2447. Prime factorization of 9788 in exponential form is:

9788 = 22×24471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9788 and 9794.

LCM(9788,9794) = 22×591×831×24471
LCM(9788,9794) = 47931836

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1, 2, 4, 2447, 4894, 9788

Factors of 9794

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

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

Least Common Multiple of 9788 and 9794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9788 and 9794, than apply into the LCM equation.

GCF(9788,9794) = 2
LCM(9788,9794) = ( 9788 × 9794) / 2
LCM(9788,9794) = 95863672 / 2
LCM(9788,9794) = 47931836

Properties of LCM 9788 and 9794

(i) The LCM of 9794 and 9788 is associative

LCM of 9788 and 9794 = LCM of 9794 and 9788

Related Least Common Multiples of 9788

Related Least Common Multiples of 9794

Frequently Asked Questions on LCM of 9788 and 9794

1. What is the LCM of 9788 and 9794?

Answer: LCM of 9788 and 9794 is 47931836.

2. What are the Factors of 9788?

Answer: Factors of 9788 are 1, 2, 4, 2447, 4894, 9788. There are 6 integers that are factors of 9788. The greatest factor of 9788 is 9788.

3. 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.

4. How to Find the LCM of 9788 and 9794?

Answer:

Least Common Multiple of 9788 and 9794 = 47931836

Step 1: Find the prime factorization of 9788

9788 = 2 x 2 x 2447

Step 2: Find the prime factorization of 9794

9794 = 2 x 59 x 83

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

LCM = 47931836 = 2 x 2 x 59 x 83 x 2447

Step 4: Therefore, the least common multiple of 9788 and 9794 is 47931836.