Least Common Multiple of 9763 and 9770

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 9770 the smallest integer that is 95384510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9763 and 9770 is 95384510.

LCM(9763,9770) = 95384510

LCM of 9763 and 9770

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

LCM of:
and

Least Common Multiple of 9763 and 9770

LCM of 9763 and 9770 is 95384510

Least common multiple can be found by multiplying the highest exponent prime factors of 9763 and 9770. First we will calculate the prime factors of 9763 and 9770.

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 9770


2 9770
5 4885
977 977
1

Prime factors of 9770 are 2, 5,977. Prime factorization of 9770 in exponential form is:

9770 = 21×51×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 9763 and 9770.

LCM(9763,9770) = 21×51×131×7511×9771
LCM(9763,9770) = 95384510

Factors of 9763

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

1, 13, 751, 9763

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1, 2, 5, 10, 977, 1954, 4885, 9770

Least Common Multiple of 9763 and 9770 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 9770, than apply into the LCM equation.

GCF(9763,9770) = 1
LCM(9763,9770) = ( 9763 × 9770) / 1
LCM(9763,9770) = 95384510 / 1
LCM(9763,9770) = 95384510

Properties of LCM 9763 and 9770

(i) The LCM of 9770 and 9763 is associative

LCM of 9763 and 9770 = LCM of 9770 and 9763

Related Least Common Multiples of 9763

Related Least Common Multiples of 9770

Frequently Asked Questions on LCM of 9763 and 9770

1. What is the LCM of 9763 and 9770?

Answer: LCM of 9763 and 9770 is 95384510.

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 9770?

Answer: Factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770. There are 8 integers that are factors of 9770. The greatest factor of 9770 is 9770.

4. How to Find the LCM of 9763 and 9770?

Answer:

Least Common Multiple of 9763 and 9770 = 95384510

Step 1: Find the prime factorization of 9763

9763 = 13 x 751

Step 2: Find the prime factorization of 9770

9770 = 2 x 5 x 977

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

LCM = 95384510 = 2 x 5 x 13 x 751 x 977

Step 4: Therefore, the least common multiple of 9763 and 9770 is 95384510.