Least Common Multiple of 9788 and 9796

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 9796 the smallest integer that is 23970812 that is divisible by both numbers.

Least Common Multiple (LCM) of 9788 and 9796 is 23970812.

LCM(9788,9796) = 23970812

LCM of 9788 and 9796

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

LCM of:
and

Least Common Multiple of 9788 and 9796

LCM of 9788 and 9796 is 23970812

Least common multiple can be found by multiplying the highest exponent prime factors of 9788 and 9796. First we will calculate the prime factors of 9788 and 9796.

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 9796


2 9796
2 4898
31 2449
79 79
1

Prime factors of 9796 are 2, 31,79. Prime factorization of 9796 in exponential form is:

9796 = 22×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9788 and 9796.

LCM(9788,9796) = 22×311×791×24471
LCM(9788,9796) = 23970812

Factors of 9788

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

1, 2, 4, 2447, 4894, 9788

Factors of 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796

Least Common Multiple of 9788 and 9796 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 9796, than apply into the LCM equation.

GCF(9788,9796) = 4
LCM(9788,9796) = ( 9788 × 9796) / 4
LCM(9788,9796) = 95883248 / 4
LCM(9788,9796) = 23970812

Properties of LCM 9788 and 9796

(i) The LCM of 9796 and 9788 is associative

LCM of 9788 and 9796 = LCM of 9796 and 9788

Related Least Common Multiples of 9788

Related Least Common Multiples of 9796

Frequently Asked Questions on LCM of 9788 and 9796

1. What is the LCM of 9788 and 9796?

Answer: LCM of 9788 and 9796 is 23970812.

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 9796?

Answer: Factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796. There are 12 integers that are factors of 9796. The greatest factor of 9796 is 9796.

4. How to Find the LCM of 9788 and 9796?

Answer:

Least Common Multiple of 9788 and 9796 = 23970812

Step 1: Find the prime factorization of 9788

9788 = 2 x 2 x 2447

Step 2: Find the prime factorization of 9796

9796 = 2 x 2 x 31 x 79

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

LCM = 23970812 = 2 x 2 x 31 x 79 x 2447

Step 4: Therefore, the least common multiple of 9788 and 9796 is 23970812.