Least Common Multiple of 9764 and 9769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9764 and 9769 the smallest integer that is 95384516 that is divisible by both numbers.

Least Common Multiple (LCM) of 9764 and 9769 is 95384516.

LCM(9764,9769) = 95384516

LCM of 9764 and 9769

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

LCM of:
and

Least Common Multiple of 9764 and 9769

LCM of 9764 and 9769 is 95384516

Least common multiple can be found by multiplying the highest exponent prime factors of 9764 and 9769. First we will calculate the prime factors of 9764 and 9769.

Prime Factorization of 9764


2 9764
2 4882
2441 2441
1

Prime factors of 9764 are 2,2441. Prime factorization of 9764 in exponential form is:

9764 = 22×24411

Prime Factorization of 9769


9769 9769
1

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 97691

Now multiplying the highest exponent prime factors to calculate the LCM of 9764 and 9769.

LCM(9764,9769) = 22×24411×97691
LCM(9764,9769) = 95384516

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1, 2, 4, 2441, 4882, 9764

Factors of 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1, 9769

Least Common Multiple of 9764 and 9769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9764 and 9769, than apply into the LCM equation.

GCF(9764,9769) = 1
LCM(9764,9769) = ( 9764 × 9769) / 1
LCM(9764,9769) = 95384516 / 1
LCM(9764,9769) = 95384516

Properties of LCM 9764 and 9769

(i) The LCM of 9769 and 9764 is associative

LCM of 9764 and 9769 = LCM of 9769 and 9764

Related Least Common Multiples of 9764

Related Least Common Multiples of 9769

Frequently Asked Questions on LCM of 9764 and 9769

1. What is the LCM of 9764 and 9769?

Answer: LCM of 9764 and 9769 is 95384516.

2. What are the Factors of 9764?

Answer: Factors of 9764 are 1, 2, 4, 2441, 4882, 9764. There are 6 integers that are factors of 9764. The greatest factor of 9764 is 9764.

3. What are the Factors of 9769?

Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.

4. How to Find the LCM of 9764 and 9769?

Answer:

Least Common Multiple of 9764 and 9769 = 95384516

Step 1: Find the prime factorization of 9764

9764 = 2 x 2 x 2441

Step 2: Find the prime factorization of 9769

9769 = 9769

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

LCM = 95384516 = 2 x 2 x 2441 x 9769

Step 4: Therefore, the least common multiple of 9764 and 9769 is 95384516.