Least Common Multiple of 9757 and 9760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9757 and 9760 the smallest integer that is 95228320 that is divisible by both numbers.

Least Common Multiple (LCM) of 9757 and 9760 is 95228320.

LCM(9757,9760) = 95228320

LCM of 9757 and 9760

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

LCM of:
and

Least Common Multiple of 9757 and 9760

LCM of 9757 and 9760 is 95228320

Least common multiple can be found by multiplying the highest exponent prime factors of 9757 and 9760. First we will calculate the prime factors of 9757 and 9760.

Prime Factorization of 9757


11 9757
887 887
1

Prime factors of 9757 are 11,887. Prime factorization of 9757 in exponential form is:

9757 = 111×8871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9757 and 9760.

LCM(9757,9760) = 25×51×111×611×8871
LCM(9757,9760) = 95228320

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1, 11, 887, 9757

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

Least Common Multiple of 9757 and 9760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9757 and 9760, than apply into the LCM equation.

GCF(9757,9760) = 1
LCM(9757,9760) = ( 9757 × 9760) / 1
LCM(9757,9760) = 95228320 / 1
LCM(9757,9760) = 95228320

Properties of LCM 9757 and 9760

(i) The LCM of 9760 and 9757 is associative

LCM of 9757 and 9760 = LCM of 9760 and 9757

Related Least Common Multiples of 9757

Related Least Common Multiples of 9760

Frequently Asked Questions on LCM of 9757 and 9760

1. What is the LCM of 9757 and 9760?

Answer: LCM of 9757 and 9760 is 95228320.

2. What are the Factors of 9757?

Answer: Factors of 9757 are 1, 11, 887, 9757. There are 4 integers that are factors of 9757. The greatest factor of 9757 is 9757.

3. 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.

4. How to Find the LCM of 9757 and 9760?

Answer:

Least Common Multiple of 9757 and 9760 = 95228320

Step 1: Find the prime factorization of 9757

9757 = 11 x 887

Step 2: Find the prime factorization of 9760

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

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

LCM = 95228320 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 61 x 887

Step 4: Therefore, the least common multiple of 9757 and 9760 is 95228320.