Least Common Multiple of 9780 and 9784

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 9784 the smallest integer that is 23921880 that is divisible by both numbers.

Least Common Multiple (LCM) of 9780 and 9784 is 23921880.

LCM(9780,9784) = 23921880

LCM of 9780 and 9784

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

LCM of:
and

Least Common Multiple of 9780 and 9784

LCM of 9780 and 9784 is 23921880

Least common multiple can be found by multiplying the highest exponent prime factors of 9780 and 9784. First we will calculate the prime factors of 9780 and 9784.

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 9784


2 9784
2 4892
2 2446
1223 1223
1

Prime factors of 9784 are 2,1223. Prime factorization of 9784 in exponential form is:

9784 = 23×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 9780 and 9784.

LCM(9780,9784) = 23×31×51×1631×12231
LCM(9780,9784) = 23921880

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 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1, 2, 4, 8, 1223, 2446, 4892, 9784

Least Common Multiple of 9780 and 9784 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 9784, than apply into the LCM equation.

GCF(9780,9784) = 4
LCM(9780,9784) = ( 9780 × 9784) / 4
LCM(9780,9784) = 95687520 / 4
LCM(9780,9784) = 23921880

Properties of LCM 9780 and 9784

(i) The LCM of 9784 and 9780 is associative

LCM of 9780 and 9784 = LCM of 9784 and 9780

Related Least Common Multiples of 9780

Related Least Common Multiples of 9784

Frequently Asked Questions on LCM of 9780 and 9784

1. What is the LCM of 9780 and 9784?

Answer: LCM of 9780 and 9784 is 23921880.

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 9784?

Answer: Factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784. There are 8 integers that are factors of 9784. The greatest factor of 9784 is 9784.

4. How to Find the LCM of 9780 and 9784?

Answer:

Least Common Multiple of 9780 and 9784 = 23921880

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 9784

9784 = 2 x 2 x 2 x 1223

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

LCM = 23921880 = 2 x 2 x 2 x 3 x 5 x 163 x 1223

Step 4: Therefore, the least common multiple of 9780 and 9784 is 23921880.