Least Common Multiple of 9757 and 9763

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 9763 the smallest integer that is 95257591 that is divisible by both numbers.

Least Common Multiple (LCM) of 9757 and 9763 is 95257591.

LCM(9757,9763) = 95257591

LCM of 9757 and 9763

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

LCM of:
and

Least Common Multiple of 9757 and 9763

LCM of 9757 and 9763 is 95257591

Least common multiple can be found by multiplying the highest exponent prime factors of 9757 and 9763. First we will calculate the prime factors of 9757 and 9763.

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 9763


13 9763
751 751
1

Prime factors of 9763 are 13,751. Prime factorization of 9763 in exponential form is:

9763 = 131×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 9757 and 9763.

LCM(9757,9763) = 111×131×7511×8871
LCM(9757,9763) = 95257591

Factors of 9757

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

1, 11, 887, 9757

Factors of 9763

List of positive integer factors of 9763 that divides 9763 without a remainder.

1, 13, 751, 9763

Least Common Multiple of 9757 and 9763 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 9763, than apply into the LCM equation.

GCF(9757,9763) = 1
LCM(9757,9763) = ( 9757 × 9763) / 1
LCM(9757,9763) = 95257591 / 1
LCM(9757,9763) = 95257591

Properties of LCM 9757 and 9763

(i) The LCM of 9763 and 9757 is associative

LCM of 9757 and 9763 = LCM of 9763 and 9757

Related Least Common Multiples of 9757

Related Least Common Multiples of 9763

Frequently Asked Questions on LCM of 9757 and 9763

1. What is the LCM of 9757 and 9763?

Answer: LCM of 9757 and 9763 is 95257591.

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 9763?

Answer: Factors of 9763 are 1, 13, 751, 9763. There are 4 integers that are factors of 9763. The greatest factor of 9763 is 9763.

4. How to Find the LCM of 9757 and 9763?

Answer:

Least Common Multiple of 9757 and 9763 = 95257591

Step 1: Find the prime factorization of 9757

9757 = 11 x 887

Step 2: Find the prime factorization of 9763

9763 = 13 x 751

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

LCM = 95257591 = 11 x 13 x 751 x 887

Step 4: Therefore, the least common multiple of 9757 and 9763 is 95257591.