Least Common Multiple of 9766 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 9766 and 9771 the smallest integer that is 95423586 that is divisible by both numbers.

Least Common Multiple (LCM) of 9766 and 9771 is 95423586.

LCM(9766,9771) = 95423586

LCM of 9766 and 9771

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

LCM of:
and

Least Common Multiple of 9766 and 9771

LCM of 9766 and 9771 is 95423586

Least common multiple can be found by multiplying the highest exponent prime factors of 9766 and 9771. First we will calculate the prime factors of 9766 and 9771.

Prime Factorization of 9766


2 9766
19 4883
257 257
1

Prime factors of 9766 are 2, 19,257. Prime factorization of 9766 in exponential form is:

9766 = 21×191×2571

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 9766 and 9771.

LCM(9766,9771) = 21×31×191×2571×32571
LCM(9766,9771) = 95423586

Factors of 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1, 2, 19, 38, 257, 514, 4883, 9766

Factors of 9771

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

1, 3, 3257, 9771

Least Common Multiple of 9766 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 9766 and 9771, than apply into the LCM equation.

GCF(9766,9771) = 1
LCM(9766,9771) = ( 9766 × 9771) / 1
LCM(9766,9771) = 95423586 / 1
LCM(9766,9771) = 95423586

Properties of LCM 9766 and 9771

(i) The LCM of 9771 and 9766 is associative

LCM of 9766 and 9771 = LCM of 9771 and 9766

Related Least Common Multiples of 9766

Related Least Common Multiples of 9771

Frequently Asked Questions on LCM of 9766 and 9771

1. What is the LCM of 9766 and 9771?

Answer: LCM of 9766 and 9771 is 95423586.

2. What are the Factors of 9766?

Answer: Factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766. There are 8 integers that are factors of 9766. The greatest factor of 9766 is 9766.

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 9766 and 9771?

Answer:

Least Common Multiple of 9766 and 9771 = 95423586

Step 1: Find the prime factorization of 9766

9766 = 2 x 19 x 257

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 = 95423586 = 2 x 3 x 19 x 257 x 3257

Step 4: Therefore, the least common multiple of 9766 and 9771 is 95423586.