Least Common Multiple of 9775 and 9781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9775 and 9781 the smallest integer that is 95609275 that is divisible by both numbers.

Least Common Multiple (LCM) of 9775 and 9781 is 95609275.

LCM(9775,9781) = 95609275

LCM of 9775 and 9781

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

LCM of:
and

Least Common Multiple of 9775 and 9781

LCM of 9775 and 9781 is 95609275

Least common multiple can be found by multiplying the highest exponent prime factors of 9775 and 9781. First we will calculate the prime factors of 9775 and 9781.

Prime Factorization of 9775


5 9775
5 1955
17 391
23 23
1

Prime factors of 9775 are 5, 17,23. Prime factorization of 9775 in exponential form is:

9775 = 52×171×231

Prime Factorization of 9781


9781 9781
1

Prime factors of 9781 are 9781. Prime factorization of 9781 in exponential form is:

9781 = 97811

Now multiplying the highest exponent prime factors to calculate the LCM of 9775 and 9781.

LCM(9775,9781) = 52×171×231×97811
LCM(9775,9781) = 95609275

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775

Factors of 9781

List of positive integer factors of 9781 that divides 9781 without a remainder.

1, 9781

Least Common Multiple of 9775 and 9781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9775 and 9781, than apply into the LCM equation.

GCF(9775,9781) = 1
LCM(9775,9781) = ( 9775 × 9781) / 1
LCM(9775,9781) = 95609275 / 1
LCM(9775,9781) = 95609275

Properties of LCM 9775 and 9781

(i) The LCM of 9781 and 9775 is associative

LCM of 9775 and 9781 = LCM of 9781 and 9775

Related Least Common Multiples of 9775

Related Least Common Multiples of 9781

Frequently Asked Questions on LCM of 9775 and 9781

1. What is the LCM of 9775 and 9781?

Answer: LCM of 9775 and 9781 is 95609275.

2. What are the Factors of 9775?

Answer: Factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775. There are 12 integers that are factors of 9775. The greatest factor of 9775 is 9775.

3. What are the Factors of 9781?

Answer: Factors of 9781 are 1, 9781. There are 2 integers that are factors of 9781. The greatest factor of 9781 is 9781.

4. How to Find the LCM of 9775 and 9781?

Answer:

Least Common Multiple of 9775 and 9781 = 95609275

Step 1: Find the prime factorization of 9775

9775 = 5 x 5 x 17 x 23

Step 2: Find the prime factorization of 9781

9781 = 9781

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

LCM = 95609275 = 5 x 5 x 17 x 23 x 9781

Step 4: Therefore, the least common multiple of 9775 and 9781 is 95609275.