Least Common Multiple of 9767 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 9767 and 9771 the smallest integer that is 95433357 that is divisible by both numbers.

Least Common Multiple (LCM) of 9767 and 9771 is 95433357.

LCM(9767,9771) = 95433357

LCM of 9767 and 9771

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

LCM of:
and

Least Common Multiple of 9767 and 9771

LCM of 9767 and 9771 is 95433357

Least common multiple can be found by multiplying the highest exponent prime factors of 9767 and 9771. First we will calculate the prime factors of 9767 and 9771.

Prime Factorization of 9767


9767 9767
1

Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:

9767 = 97671

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 9767 and 9771.

LCM(9767,9771) = 31×32571×97671
LCM(9767,9771) = 95433357

Factors of 9767

List of positive integer factors of 9767 that divides 9767 without a remainder.

1, 9767

Factors of 9771

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

1, 3, 3257, 9771

Least Common Multiple of 9767 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 9767 and 9771, than apply into the LCM equation.

GCF(9767,9771) = 1
LCM(9767,9771) = ( 9767 × 9771) / 1
LCM(9767,9771) = 95433357 / 1
LCM(9767,9771) = 95433357

Properties of LCM 9767 and 9771

(i) The LCM of 9771 and 9767 is associative

LCM of 9767 and 9771 = LCM of 9771 and 9767

Related Least Common Multiples of 9767

Related Least Common Multiples of 9771

Frequently Asked Questions on LCM of 9767 and 9771

1. What is the LCM of 9767 and 9771?

Answer: LCM of 9767 and 9771 is 95433357.

2. What are the Factors of 9767?

Answer: Factors of 9767 are 1, 9767. There are 2 integers that are factors of 9767. The greatest factor of 9767 is 9767.

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 9767 and 9771?

Answer:

Least Common Multiple of 9767 and 9771 = 95433357

Step 1: Find the prime factorization of 9767

9767 = 9767

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 = 95433357 = 3 x 3257 x 9767

Step 4: Therefore, the least common multiple of 9767 and 9771 is 95433357.