Least Common Multiple of 9780 and 9788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9780 and 9788 the smallest integer that is 23931660 that is divisible by both numbers.

Least Common Multiple (LCM) of 9780 and 9788 is 23931660.

LCM(9780,9788) = 23931660

LCM of 9780 and 9788

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

LCM of:
and

Least Common Multiple of 9780 and 9788

LCM of 9780 and 9788 is 23931660

Least common multiple can be found by multiplying the highest exponent prime factors of 9780 and 9788. First we will calculate the prime factors of 9780 and 9788.

Prime Factorization of 9780


2 9780
2 4890
3 2445
5 815
163 163
1

Prime factors of 9780 are 2, 3, 5,163. Prime factorization of 9780 in exponential form is:

9780 = 22×31×51×1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9780 and 9788.

LCM(9780,9788) = 22×31×51×1631×24471
LCM(9780,9788) = 23931660

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780

Factors of 9788

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

1, 2, 4, 2447, 4894, 9788

Least Common Multiple of 9780 and 9788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9780 and 9788, than apply into the LCM equation.

GCF(9780,9788) = 4
LCM(9780,9788) = ( 9780 × 9788) / 4
LCM(9780,9788) = 95726640 / 4
LCM(9780,9788) = 23931660

Properties of LCM 9780 and 9788

(i) The LCM of 9788 and 9780 is associative

LCM of 9780 and 9788 = LCM of 9788 and 9780

Related Least Common Multiples of 9780

Related Least Common Multiples of 9788

Frequently Asked Questions on LCM of 9780 and 9788

1. What is the LCM of 9780 and 9788?

Answer: LCM of 9780 and 9788 is 23931660.

2. What are the Factors of 9780?

Answer: Factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780. There are 24 integers that are factors of 9780. The greatest factor of 9780 is 9780.

3. 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.

4. How to Find the LCM of 9780 and 9788?

Answer:

Least Common Multiple of 9780 and 9788 = 23931660

Step 1: Find the prime factorization of 9780

9780 = 2 x 2 x 3 x 5 x 163

Step 2: Find the prime factorization of 9788

9788 = 2 x 2 x 2447

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

LCM = 23931660 = 2 x 2 x 3 x 5 x 163 x 2447

Step 4: Therefore, the least common multiple of 9780 and 9788 is 23931660.