Least Common Multiple of 9787 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 9787 and 9794 the smallest integer that is 95853878 that is divisible by both numbers.

Least Common Multiple (LCM) of 9787 and 9794 is 95853878.

LCM(9787,9794) = 95853878

LCM of 9787 and 9794

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

LCM of:
and

Least Common Multiple of 9787 and 9794

LCM of 9787 and 9794 is 95853878

Least common multiple can be found by multiplying the highest exponent prime factors of 9787 and 9794. First we will calculate the prime factors of 9787 and 9794.

Prime Factorization of 9787


9787 9787
1

Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:

9787 = 97871

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 9787 and 9794.

LCM(9787,9794) = 21×591×831×97871
LCM(9787,9794) = 95853878

Factors of 9787

List of positive integer factors of 9787 that divides 9787 without a remainder.

1, 9787

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 9787 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 9787 and 9794, than apply into the LCM equation.

GCF(9787,9794) = 1
LCM(9787,9794) = ( 9787 × 9794) / 1
LCM(9787,9794) = 95853878 / 1
LCM(9787,9794) = 95853878

Properties of LCM 9787 and 9794

(i) The LCM of 9794 and 9787 is associative

LCM of 9787 and 9794 = LCM of 9794 and 9787

Related Least Common Multiples of 9787

Related Least Common Multiples of 9794

Frequently Asked Questions on LCM of 9787 and 9794

1. What is the LCM of 9787 and 9794?

Answer: LCM of 9787 and 9794 is 95853878.

2. What are the Factors of 9787?

Answer: Factors of 9787 are 1, 9787. There are 2 integers that are factors of 9787. The greatest factor of 9787 is 9787.

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 9787 and 9794?

Answer:

Least Common Multiple of 9787 and 9794 = 95853878

Step 1: Find the prime factorization of 9787

9787 = 9787

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 = 95853878 = 2 x 59 x 83 x 9787

Step 4: Therefore, the least common multiple of 9787 and 9794 is 95853878.