Least Common Multiple of 9763 and 9767

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 9767 the smallest integer that is 95355221 that is divisible by both numbers.

Least Common Multiple (LCM) of 9763 and 9767 is 95355221.

LCM(9763,9767) = 95355221

LCM of 9763 and 9767

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

LCM of:
and

Least Common Multiple of 9763 and 9767

LCM of 9763 and 9767 is 95355221

Least common multiple can be found by multiplying the highest exponent prime factors of 9763 and 9767. First we will calculate the prime factors of 9763 and 9767.

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 9767


9767 9767
1

Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:

9767 = 97671

Now multiplying the highest exponent prime factors to calculate the LCM of 9763 and 9767.

LCM(9763,9767) = 131×7511×97671
LCM(9763,9767) = 95355221

Factors of 9763

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

1, 13, 751, 9763

Factors of 9767

List of positive integer factors of 9767 that divides 9767 without a remainder.

1, 9767

Least Common Multiple of 9763 and 9767 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 9767, than apply into the LCM equation.

GCF(9763,9767) = 1
LCM(9763,9767) = ( 9763 × 9767) / 1
LCM(9763,9767) = 95355221 / 1
LCM(9763,9767) = 95355221

Properties of LCM 9763 and 9767

(i) The LCM of 9767 and 9763 is associative

LCM of 9763 and 9767 = LCM of 9767 and 9763

Related Least Common Multiples of 9763

Related Least Common Multiples of 9767

Frequently Asked Questions on LCM of 9763 and 9767

1. What is the LCM of 9763 and 9767?

Answer: LCM of 9763 and 9767 is 95355221.

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 9767?

Answer: Factors of 9767 are 1, 9767. There are 2 integers that are factors of 9767. The greatest factor of 9767 is 9767.

4. How to Find the LCM of 9763 and 9767?

Answer:

Least Common Multiple of 9763 and 9767 = 95355221

Step 1: Find the prime factorization of 9763

9763 = 13 x 751

Step 2: Find the prime factorization of 9767

9767 = 9767

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

LCM = 95355221 = 13 x 751 x 9767

Step 4: Therefore, the least common multiple of 9763 and 9767 is 95355221.