Least Common Multiple of 9786 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 9786 and 9794 the smallest integer that is 47922042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9786 and 9794 is 47922042.

LCM(9786,9794) = 47922042

LCM of 9786 and 9794

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

LCM of:
and

Least Common Multiple of 9786 and 9794

LCM of 9786 and 9794 is 47922042

Least common multiple can be found by multiplying the highest exponent prime factors of 9786 and 9794. First we will calculate the prime factors of 9786 and 9794.

Prime Factorization of 9786


2 9786
3 4893
7 1631
233 233
1

Prime factors of 9786 are 2, 3, 7,233. Prime factorization of 9786 in exponential form is:

9786 = 21×31×71×2331

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 9786 and 9794.

LCM(9786,9794) = 21×31×71×591×831×2331
LCM(9786,9794) = 47922042

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786

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 9786 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 9786 and 9794, than apply into the LCM equation.

GCF(9786,9794) = 2
LCM(9786,9794) = ( 9786 × 9794) / 2
LCM(9786,9794) = 95844084 / 2
LCM(9786,9794) = 47922042

Properties of LCM 9786 and 9794

(i) The LCM of 9794 and 9786 is associative

LCM of 9786 and 9794 = LCM of 9794 and 9786

Related Least Common Multiples of 9786

Related Least Common Multiples of 9794

Frequently Asked Questions on LCM of 9786 and 9794

1. What is the LCM of 9786 and 9794?

Answer: LCM of 9786 and 9794 is 47922042.

2. What are the Factors of 9786?

Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.

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 9786 and 9794?

Answer:

Least Common Multiple of 9786 and 9794 = 47922042

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

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 = 47922042 = 2 x 3 x 7 x 59 x 83 x 233

Step 4: Therefore, the least common multiple of 9786 and 9794 is 47922042.