Least Common Multiple of 9785 and 9789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9785 and 9789 the smallest integer that is 95785365 that is divisible by both numbers.

Least Common Multiple (LCM) of 9785 and 9789 is 95785365.

LCM(9785,9789) = 95785365

LCM of 9785 and 9789

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

LCM of:
and

Least Common Multiple of 9785 and 9789

LCM of 9785 and 9789 is 95785365

Least common multiple can be found by multiplying the highest exponent prime factors of 9785 and 9789. First we will calculate the prime factors of 9785 and 9789.

Prime Factorization of 9785


5 9785
19 1957
103 103
1

Prime factors of 9785 are 5, 19,103. Prime factorization of 9785 in exponential form is:

9785 = 51×191×1031

Prime Factorization of 9789


3 9789
13 3263
251 251
1

Prime factors of 9789 are 3, 13,251. Prime factorization of 9789 in exponential form is:

9789 = 31×131×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9785 and 9789.

LCM(9785,9789) = 31×51×131×191×1031×2511
LCM(9785,9789) = 95785365

Factors of 9785

List of positive integer factors of 9785 that divides 9785 without a remainder.

1, 5, 19, 95, 103, 515, 1957, 9785

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1, 3, 13, 39, 251, 753, 3263, 9789

Least Common Multiple of 9785 and 9789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9785 and 9789, than apply into the LCM equation.

GCF(9785,9789) = 1
LCM(9785,9789) = ( 9785 × 9789) / 1
LCM(9785,9789) = 95785365 / 1
LCM(9785,9789) = 95785365

Properties of LCM 9785 and 9789

(i) The LCM of 9789 and 9785 is associative

LCM of 9785 and 9789 = LCM of 9789 and 9785

Related Least Common Multiples of 9785

Related Least Common Multiples of 9789

Frequently Asked Questions on LCM of 9785 and 9789

1. What is the LCM of 9785 and 9789?

Answer: LCM of 9785 and 9789 is 95785365.

2. What are the Factors of 9785?

Answer: Factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785. There are 8 integers that are factors of 9785. The greatest factor of 9785 is 9785.

3. What are the Factors of 9789?

Answer: Factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789. There are 8 integers that are factors of 9789. The greatest factor of 9789 is 9789.

4. How to Find the LCM of 9785 and 9789?

Answer:

Least Common Multiple of 9785 and 9789 = 95785365

Step 1: Find the prime factorization of 9785

9785 = 5 x 19 x 103

Step 2: Find the prime factorization of 9789

9789 = 3 x 13 x 251

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

LCM = 95785365 = 3 x 5 x 13 x 19 x 103 x 251

Step 4: Therefore, the least common multiple of 9785 and 9789 is 95785365.