Least Common Multiple of 8780 and 8784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8780 and 8784 the smallest integer that is 19280880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8780 and 8784 is 19280880.

LCM(8780,8784) = 19280880

LCM of 8780 and 8784

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

LCM of:
and

Least Common Multiple of 8780 and 8784

LCM of 8780 and 8784 is 19280880

Least common multiple can be found by multiplying the highest exponent prime factors of 8780 and 8784. First we will calculate the prime factors of 8780 and 8784.

Prime Factorization of 8780


2 8780
2 4390
5 2195
439 439
1

Prime factors of 8780 are 2, 5,439. Prime factorization of 8780 in exponential form is:

8780 = 22×51×4391

Prime Factorization of 8784


2 8784
2 4392
2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 8784 are 2, 3,61. Prime factorization of 8784 in exponential form is:

8784 = 24×32×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8780 and 8784.

LCM(8780,8784) = 24×32×51×611×4391
LCM(8780,8784) = 19280880

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784

Least Common Multiple of 8780 and 8784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8780 and 8784, than apply into the LCM equation.

GCF(8780,8784) = 4
LCM(8780,8784) = ( 8780 × 8784) / 4
LCM(8780,8784) = 77123520 / 4
LCM(8780,8784) = 19280880

Properties of LCM 8780 and 8784

(i) The LCM of 8784 and 8780 is associative

LCM of 8780 and 8784 = LCM of 8784 and 8780

Related Least Common Multiples of 8780

Related Least Common Multiples of 8784

Frequently Asked Questions on LCM of 8780 and 8784

1. What is the LCM of 8780 and 8784?

Answer: LCM of 8780 and 8784 is 19280880.

2. What are the Factors of 8780?

Answer: Factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. There are 12 integers that are factors of 8780. The greatest factor of 8780 is 8780.

3. What are the Factors of 8784?

Answer: Factors of 8784 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 61, 72, 122, 144, 183, 244, 366, 488, 549, 732, 976, 1098, 1464, 2196, 2928, 4392, 8784. There are 30 integers that are factors of 8784. The greatest factor of 8784 is 8784.

4. How to Find the LCM of 8780 and 8784?

Answer:

Least Common Multiple of 8780 and 8784 = 19280880

Step 1: Find the prime factorization of 8780

8780 = 2 x 2 x 5 x 439

Step 2: Find the prime factorization of 8784

8784 = 2 x 2 x 2 x 2 x 3 x 3 x 61

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

LCM = 19280880 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 61 x 439

Step 4: Therefore, the least common multiple of 8780 and 8784 is 19280880.