Least Common Multiple of 9760 and 9764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9760 and 9764 the smallest integer that is 23824160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9760 and 9764 is 23824160.

LCM(9760,9764) = 23824160

LCM of 9760 and 9764

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

LCM of:
and

Least Common Multiple of 9760 and 9764

LCM of 9760 and 9764 is 23824160

Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9764. First we will calculate the prime factors of 9760 and 9764.

Prime Factorization of 9760


2 9760
2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 9760 are 2, 5,61. Prime factorization of 9760 in exponential form is:

9760 = 25×51×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9764.

LCM(9760,9764) = 25×51×611×24411
LCM(9760,9764) = 23824160

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760

Factors of 9764

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

1, 2, 4, 2441, 4882, 9764

Least Common Multiple of 9760 and 9764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9760 and 9764, than apply into the LCM equation.

GCF(9760,9764) = 4
LCM(9760,9764) = ( 9760 × 9764) / 4
LCM(9760,9764) = 95296640 / 4
LCM(9760,9764) = 23824160

Properties of LCM 9760 and 9764

(i) The LCM of 9764 and 9760 is associative

LCM of 9760 and 9764 = LCM of 9764 and 9760

Related Least Common Multiples of 9760

Related Least Common Multiples of 9764

Frequently Asked Questions on LCM of 9760 and 9764

1. What is the LCM of 9760 and 9764?

Answer: LCM of 9760 and 9764 is 23824160.

2. What are the Factors of 9760?

Answer: Factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760. There are 24 integers that are factors of 9760. The greatest factor of 9760 is 9760.

3. 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.

4. How to Find the LCM of 9760 and 9764?

Answer:

Least Common Multiple of 9760 and 9764 = 23824160

Step 1: Find the prime factorization of 9760

9760 = 2 x 2 x 2 x 2 x 2 x 5 x 61

Step 2: Find the prime factorization of 9764

9764 = 2 x 2 x 2441

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

LCM = 23824160 = 2 x 2 x 2 x 2 x 2 x 5 x 61 x 2441

Step 4: Therefore, the least common multiple of 9760 and 9764 is 23824160.