Least Common Multiple of 9765 and 9771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9765 and 9771 the smallest integer that is 31804605 that is divisible by both numbers.

Least Common Multiple (LCM) of 9765 and 9771 is 31804605.

LCM(9765,9771) = 31804605

LCM of 9765 and 9771

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

LCM of:
and

Least Common Multiple of 9765 and 9771

LCM of 9765 and 9771 is 31804605

Least common multiple can be found by multiplying the highest exponent prime factors of 9765 and 9771. First we will calculate the prime factors of 9765 and 9771.

Prime Factorization of 9765


3 9765
3 3255
5 1085
7 217
31 31
1

Prime factors of 9765 are 3, 5, 7,31. Prime factorization of 9765 in exponential form is:

9765 = 32×51×71×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9765 and 9771.

LCM(9765,9771) = 32×51×71×311×32571
LCM(9765,9771) = 31804605

Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765

Factors of 9771

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

1, 3, 3257, 9771

Least Common Multiple of 9765 and 9771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9765 and 9771, than apply into the LCM equation.

GCF(9765,9771) = 3
LCM(9765,9771) = ( 9765 × 9771) / 3
LCM(9765,9771) = 95413815 / 3
LCM(9765,9771) = 31804605

Properties of LCM 9765 and 9771

(i) The LCM of 9771 and 9765 is associative

LCM of 9765 and 9771 = LCM of 9771 and 9765

Related Least Common Multiples of 9765

Related Least Common Multiples of 9771

Frequently Asked Questions on LCM of 9765 and 9771

1. What is the LCM of 9765 and 9771?

Answer: LCM of 9765 and 9771 is 31804605.

2. What are the Factors of 9765?

Answer: Factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. There are 24 integers that are factors of 9765. The greatest factor of 9765 is 9765.

3. 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.

4. How to Find the LCM of 9765 and 9771?

Answer:

Least Common Multiple of 9765 and 9771 = 31804605

Step 1: Find the prime factorization of 9765

9765 = 3 x 3 x 5 x 7 x 31

Step 2: Find the prime factorization of 9771

9771 = 3 x 3257

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

LCM = 31804605 = 3 x 3 x 5 x 7 x 31 x 3257

Step 4: Therefore, the least common multiple of 9765 and 9771 is 31804605.