Least Common Multiple of 9780 and 9786

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 9786 the smallest integer that is 15951180 that is divisible by both numbers.

Least Common Multiple (LCM) of 9780 and 9786 is 15951180.

LCM(9780,9786) = 15951180

LCM of 9780 and 9786

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

LCM of:
and

Least Common Multiple of 9780 and 9786

LCM of 9780 and 9786 is 15951180

Least common multiple can be found by multiplying the highest exponent prime factors of 9780 and 9786. First we will calculate the prime factors of 9780 and 9786.

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 9786


2 9786
3 4893
7 1631
233 233
1

Prime factors of 9786 are 2, 3, 7,233. Prime factorization of 9786 in exponential form is:

9786 = 21×31×71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 9780 and 9786.

LCM(9780,9786) = 22×31×51×71×1631×2331
LCM(9780,9786) = 15951180

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 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786

Least Common Multiple of 9780 and 9786 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 9786, than apply into the LCM equation.

GCF(9780,9786) = 6
LCM(9780,9786) = ( 9780 × 9786) / 6
LCM(9780,9786) = 95707080 / 6
LCM(9780,9786) = 15951180

Properties of LCM 9780 and 9786

(i) The LCM of 9786 and 9780 is associative

LCM of 9780 and 9786 = LCM of 9786 and 9780

Related Least Common Multiples of 9780

Related Least Common Multiples of 9786

Frequently Asked Questions on LCM of 9780 and 9786

1. What is the LCM of 9780 and 9786?

Answer: LCM of 9780 and 9786 is 15951180.

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 9786?

Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.

4. How to Find the LCM of 9780 and 9786?

Answer:

Least Common Multiple of 9780 and 9786 = 15951180

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 9786

9786 = 2 x 3 x 7 x 233

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

LCM = 15951180 = 2 x 2 x 3 x 5 x 7 x 163 x 233

Step 4: Therefore, the least common multiple of 9780 and 9786 is 15951180.