Least Common Multiple of 9763 and 9769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9763 and 9769 the smallest integer that is 95374747 that is divisible by both numbers.

Least Common Multiple (LCM) of 9763 and 9769 is 95374747.

LCM(9763,9769) = 95374747

LCM of 9763 and 9769

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

LCM of:
and

Least Common Multiple of 9763 and 9769

LCM of 9763 and 9769 is 95374747

Least common multiple can be found by multiplying the highest exponent prime factors of 9763 and 9769. First we will calculate the prime factors of 9763 and 9769.

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

Prime Factorization of 9769


9769 9769
1

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 97691

Now multiplying the highest exponent prime factors to calculate the LCM of 9763 and 9769.

LCM(9763,9769) = 131×7511×97691
LCM(9763,9769) = 95374747

Factors of 9763

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

1, 13, 751, 9763

Factors of 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1, 9769

Least Common Multiple of 9763 and 9769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9763 and 9769, than apply into the LCM equation.

GCF(9763,9769) = 1
LCM(9763,9769) = ( 9763 × 9769) / 1
LCM(9763,9769) = 95374747 / 1
LCM(9763,9769) = 95374747

Properties of LCM 9763 and 9769

(i) The LCM of 9769 and 9763 is associative

LCM of 9763 and 9769 = LCM of 9769 and 9763

Related Least Common Multiples of 9763

Related Least Common Multiples of 9769

Frequently Asked Questions on LCM of 9763 and 9769

1. What is the LCM of 9763 and 9769?

Answer: LCM of 9763 and 9769 is 95374747.

2. 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.

3. What are the Factors of 9769?

Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.

4. How to Find the LCM of 9763 and 9769?

Answer:

Least Common Multiple of 9763 and 9769 = 95374747

Step 1: Find the prime factorization of 9763

9763 = 13 x 751

Step 2: Find the prime factorization of 9769

9769 = 9769

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

LCM = 95374747 = 13 x 751 x 9769

Step 4: Therefore, the least common multiple of 9763 and 9769 is 95374747.