Least Common Multiple of 9764 and 9770

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 9770 the smallest integer that is 47697140 that is divisible by both numbers.

Least Common Multiple (LCM) of 9764 and 9770 is 47697140.

LCM(9764,9770) = 47697140

LCM of 9764 and 9770

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

LCM of:
and

Least Common Multiple of 9764 and 9770

LCM of 9764 and 9770 is 47697140

Least common multiple can be found by multiplying the highest exponent prime factors of 9764 and 9770. First we will calculate the prime factors of 9764 and 9770.

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 9770


2 9770
5 4885
977 977
1

Prime factors of 9770 are 2, 5,977. Prime factorization of 9770 in exponential form is:

9770 = 21×51×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 9764 and 9770.

LCM(9764,9770) = 22×51×9771×24411
LCM(9764,9770) = 47697140

Factors of 9764

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

1, 2, 4, 2441, 4882, 9764

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1, 2, 5, 10, 977, 1954, 4885, 9770

Least Common Multiple of 9764 and 9770 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 9770, than apply into the LCM equation.

GCF(9764,9770) = 2
LCM(9764,9770) = ( 9764 × 9770) / 2
LCM(9764,9770) = 95394280 / 2
LCM(9764,9770) = 47697140

Properties of LCM 9764 and 9770

(i) The LCM of 9770 and 9764 is associative

LCM of 9764 and 9770 = LCM of 9770 and 9764

Related Least Common Multiples of 9764

Related Least Common Multiples of 9770

Frequently Asked Questions on LCM of 9764 and 9770

1. What is the LCM of 9764 and 9770?

Answer: LCM of 9764 and 9770 is 47697140.

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 9770?

Answer: Factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770. There are 8 integers that are factors of 9770. The greatest factor of 9770 is 9770.

4. How to Find the LCM of 9764 and 9770?

Answer:

Least Common Multiple of 9764 and 9770 = 47697140

Step 1: Find the prime factorization of 9764

9764 = 2 x 2 x 2441

Step 2: Find the prime factorization of 9770

9770 = 2 x 5 x 977

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

LCM = 47697140 = 2 x 2 x 5 x 977 x 2441

Step 4: Therefore, the least common multiple of 9764 and 9770 is 47697140.