Least Common Multiple of 9771 and 9773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9771 and 9773 the smallest integer that is 95491983 that is divisible by both numbers.

Least Common Multiple (LCM) of 9771 and 9773 is 95491983.

LCM(9771,9773) = 95491983

LCM of 9771 and 9773

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

LCM of:
and

Least Common Multiple of 9771 and 9773

LCM of 9771 and 9773 is 95491983

Least common multiple can be found by multiplying the highest exponent prime factors of 9771 and 9773. First we will calculate the prime factors of 9771 and 9773.

Prime Factorization of 9771


3 9771
3257 3257
1

Prime factors of 9771 are 3,3257. Prime factorization of 9771 in exponential form is:

9771 = 31×32571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9771 and 9773.

LCM(9771,9773) = 31×291×3371×32571
LCM(9771,9773) = 95491983

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1, 3, 3257, 9771

Factors of 9773

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

1, 29, 337, 9773

Least Common Multiple of 9771 and 9773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9771 and 9773, than apply into the LCM equation.

GCF(9771,9773) = 1
LCM(9771,9773) = ( 9771 × 9773) / 1
LCM(9771,9773) = 95491983 / 1
LCM(9771,9773) = 95491983

Properties of LCM 9771 and 9773

(i) The LCM of 9773 and 9771 is associative

LCM of 9771 and 9773 = LCM of 9773 and 9771

Related Least Common Multiples of 9771

Related Least Common Multiples of 9773

Frequently Asked Questions on LCM of 9771 and 9773

1. What is the LCM of 9771 and 9773?

Answer: LCM of 9771 and 9773 is 95491983.

2. What are the Factors of 9771?

Answer: Factors of 9771 are 1, 3, 3257, 9771. There are 4 integers that are factors of 9771. The greatest factor of 9771 is 9771.

3. 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.

4. How to Find the LCM of 9771 and 9773?

Answer:

Least Common Multiple of 9771 and 9773 = 95491983

Step 1: Find the prime factorization of 9771

9771 = 3 x 3257

Step 2: Find the prime factorization of 9773

9773 = 29 x 337

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

LCM = 95491983 = 3 x 29 x 337 x 3257

Step 4: Therefore, the least common multiple of 9771 and 9773 is 95491983.