Least Common Multiple of 9788 and 9795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9788 and 9795 the smallest integer that is 95873460 that is divisible by both numbers.

Least Common Multiple (LCM) of 9788 and 9795 is 95873460.

LCM(9788,9795) = 95873460

LCM of 9788 and 9795

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

LCM of:
and

Least Common Multiple of 9788 and 9795

LCM of 9788 and 9795 is 95873460

Least common multiple can be found by multiplying the highest exponent prime factors of 9788 and 9795. First we will calculate the prime factors of 9788 and 9795.

Prime Factorization of 9788


2 9788
2 4894
2447 2447
1

Prime factors of 9788 are 2,2447. Prime factorization of 9788 in exponential form is:

9788 = 22×24471

Prime Factorization of 9795


3 9795
5 3265
653 653
1

Prime factors of 9795 are 3, 5,653. Prime factorization of 9795 in exponential form is:

9795 = 31×51×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 9788 and 9795.

LCM(9788,9795) = 22×31×51×6531×24471
LCM(9788,9795) = 95873460

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1, 2, 4, 2447, 4894, 9788

Factors of 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265, 9795

Least Common Multiple of 9788 and 9795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9788 and 9795, than apply into the LCM equation.

GCF(9788,9795) = 1
LCM(9788,9795) = ( 9788 × 9795) / 1
LCM(9788,9795) = 95873460 / 1
LCM(9788,9795) = 95873460

Properties of LCM 9788 and 9795

(i) The LCM of 9795 and 9788 is associative

LCM of 9788 and 9795 = LCM of 9795 and 9788

Related Least Common Multiples of 9788

Related Least Common Multiples of 9795

Frequently Asked Questions on LCM of 9788 and 9795

1. What is the LCM of 9788 and 9795?

Answer: LCM of 9788 and 9795 is 95873460.

2. What are the Factors of 9788?

Answer: Factors of 9788 are 1, 2, 4, 2447, 4894, 9788. There are 6 integers that are factors of 9788. The greatest factor of 9788 is 9788.

3. What are the Factors of 9795?

Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.

4. How to Find the LCM of 9788 and 9795?

Answer:

Least Common Multiple of 9788 and 9795 = 95873460

Step 1: Find the prime factorization of 9788

9788 = 2 x 2 x 2447

Step 2: Find the prime factorization of 9795

9795 = 3 x 5 x 653

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

LCM = 95873460 = 2 x 2 x 3 x 5 x 653 x 2447

Step 4: Therefore, the least common multiple of 9788 and 9795 is 95873460.