Least Common Multiple of 9760 and 9767

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 9767 the smallest integer that is 95325920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9760 and 9767 is 95325920.

LCM(9760,9767) = 95325920

LCM of 9760 and 9767

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

LCM of:
and

Least Common Multiple of 9760 and 9767

LCM of 9760 and 9767 is 95325920

Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9767. First we will calculate the prime factors of 9760 and 9767.

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 9767


9767 9767
1

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

9767 = 97671

Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9767.

LCM(9760,9767) = 25×51×611×97671
LCM(9760,9767) = 95325920

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 9767

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

1, 9767

Least Common Multiple of 9760 and 9767 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 9767, than apply into the LCM equation.

GCF(9760,9767) = 1
LCM(9760,9767) = ( 9760 × 9767) / 1
LCM(9760,9767) = 95325920 / 1
LCM(9760,9767) = 95325920

Properties of LCM 9760 and 9767

(i) The LCM of 9767 and 9760 is associative

LCM of 9760 and 9767 = LCM of 9767 and 9760

Related Least Common Multiples of 9760

Related Least Common Multiples of 9767

Frequently Asked Questions on LCM of 9760 and 9767

1. What is the LCM of 9760 and 9767?

Answer: LCM of 9760 and 9767 is 95325920.

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 9767?

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

4. How to Find the LCM of 9760 and 9767?

Answer:

Least Common Multiple of 9760 and 9767 = 95325920

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 9767

9767 = 9767

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

LCM = 95325920 = 2 x 2 x 2 x 2 x 2 x 5 x 61 x 9767

Step 4: Therefore, the least common multiple of 9760 and 9767 is 95325920.