Least Common Multiple of 9759 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 9759 and 9763 the smallest integer that is 95277117 that is divisible by both numbers.

Least Common Multiple (LCM) of 9759 and 9763 is 95277117.

LCM(9759,9763) = 95277117

LCM of 9759 and 9763

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

LCM of:
and

Least Common Multiple of 9759 and 9763

LCM of 9759 and 9763 is 95277117

Least common multiple can be found by multiplying the highest exponent prime factors of 9759 and 9763. First we will calculate the prime factors of 9759 and 9763.

Prime Factorization of 9759


3 9759
3253 3253
1

Prime factors of 9759 are 3,3253. Prime factorization of 9759 in exponential form is:

9759 = 31×32531

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 9759 and 9763.

LCM(9759,9763) = 31×131×7511×32531
LCM(9759,9763) = 95277117

Factors of 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1, 3, 3253, 9759

Factors of 9763

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

1, 13, 751, 9763

Least Common Multiple of 9759 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 9759 and 9763, than apply into the LCM equation.

GCF(9759,9763) = 1
LCM(9759,9763) = ( 9759 × 9763) / 1
LCM(9759,9763) = 95277117 / 1
LCM(9759,9763) = 95277117

Properties of LCM 9759 and 9763

(i) The LCM of 9763 and 9759 is associative

LCM of 9759 and 9763 = LCM of 9763 and 9759

Related Least Common Multiples of 9759

Related Least Common Multiples of 9763

Frequently Asked Questions on LCM of 9759 and 9763

1. What is the LCM of 9759 and 9763?

Answer: LCM of 9759 and 9763 is 95277117.

2. What are the Factors of 9759?

Answer: Factors of 9759 are 1, 3, 3253, 9759. There are 4 integers that are factors of 9759. The greatest factor of 9759 is 9759.

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 9759 and 9763?

Answer:

Least Common Multiple of 9759 and 9763 = 95277117

Step 1: Find the prime factorization of 9759

9759 = 3 x 3253

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 = 95277117 = 3 x 13 x 751 x 3253

Step 4: Therefore, the least common multiple of 9759 and 9763 is 95277117.