Least Common Multiple of 9773 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 9773 and 9781 the smallest integer that is 95589713 that is divisible by both numbers.

Least Common Multiple (LCM) of 9773 and 9781 is 95589713.

LCM(9773,9781) = 95589713

LCM of 9773 and 9781

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

LCM of:
and

Least Common Multiple of 9773 and 9781

LCM of 9773 and 9781 is 95589713

Least common multiple can be found by multiplying the highest exponent prime factors of 9773 and 9781. First we will calculate the prime factors of 9773 and 9781.

Prime Factorization of 9773


29 9773
337 337
1

Prime factors of 9773 are 29,337. Prime factorization of 9773 in exponential form is:

9773 = 291×3371

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 9773 and 9781.

LCM(9773,9781) = 291×3371×97811
LCM(9773,9781) = 95589713

Factors of 9773

List of positive integer factors of 9773 that divides 9773 without a remainder.

1, 29, 337, 9773

Factors of 9781

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

1, 9781

Least Common Multiple of 9773 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 9773 and 9781, than apply into the LCM equation.

GCF(9773,9781) = 1
LCM(9773,9781) = ( 9773 × 9781) / 1
LCM(9773,9781) = 95589713 / 1
LCM(9773,9781) = 95589713

Properties of LCM 9773 and 9781

(i) The LCM of 9781 and 9773 is associative

LCM of 9773 and 9781 = LCM of 9781 and 9773

Related Least Common Multiples of 9773

Related Least Common Multiples of 9781

Frequently Asked Questions on LCM of 9773 and 9781

1. What is the LCM of 9773 and 9781?

Answer: LCM of 9773 and 9781 is 95589713.

2. What are the Factors of 9773?

Answer: Factors of 9773 are 1, 29, 337, 9773. There are 4 integers that are factors of 9773. The greatest factor of 9773 is 9773.

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 9773 and 9781?

Answer:

Least Common Multiple of 9773 and 9781 = 95589713

Step 1: Find the prime factorization of 9773

9773 = 29 x 337

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 = 95589713 = 29 x 337 x 9781

Step 4: Therefore, the least common multiple of 9773 and 9781 is 95589713.