Least Common Multiple of 9760 and 9766

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 9766 the smallest integer that is 47658080 that is divisible by both numbers.

Least Common Multiple (LCM) of 9760 and 9766 is 47658080.

LCM(9760,9766) = 47658080

LCM of 9760 and 9766

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

LCM of:
and

Least Common Multiple of 9760 and 9766

LCM of 9760 and 9766 is 47658080

Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9766. First we will calculate the prime factors of 9760 and 9766.

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 9766


2 9766
19 4883
257 257
1

Prime factors of 9766 are 2, 19,257. Prime factorization of 9766 in exponential form is:

9766 = 21×191×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9766.

LCM(9760,9766) = 25×51×191×611×2571
LCM(9760,9766) = 47658080

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 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1, 2, 19, 38, 257, 514, 4883, 9766

Least Common Multiple of 9760 and 9766 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 9766, than apply into the LCM equation.

GCF(9760,9766) = 2
LCM(9760,9766) = ( 9760 × 9766) / 2
LCM(9760,9766) = 95316160 / 2
LCM(9760,9766) = 47658080

Properties of LCM 9760 and 9766

(i) The LCM of 9766 and 9760 is associative

LCM of 9760 and 9766 = LCM of 9766 and 9760

Related Least Common Multiples of 9760

Related Least Common Multiples of 9766

Frequently Asked Questions on LCM of 9760 and 9766

1. What is the LCM of 9760 and 9766?

Answer: LCM of 9760 and 9766 is 47658080.

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 9766?

Answer: Factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766. There are 8 integers that are factors of 9766. The greatest factor of 9766 is 9766.

4. How to Find the LCM of 9760 and 9766?

Answer:

Least Common Multiple of 9760 and 9766 = 47658080

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 9766

9766 = 2 x 19 x 257

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

LCM = 47658080 = 2 x 2 x 2 x 2 x 2 x 5 x 19 x 61 x 257

Step 4: Therefore, the least common multiple of 9760 and 9766 is 47658080.