Least Common Multiple of 4780 and 4784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4780 and 4784 the smallest integer that is 5716880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4780 and 4784 is 5716880.

LCM(4780,4784) = 5716880

LCM of 4780 and 4784

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

LCM of:
and

Least Common Multiple of 4780 and 4784

LCM of 4780 and 4784 is 5716880

Least common multiple can be found by multiplying the highest exponent prime factors of 4780 and 4784. First we will calculate the prime factors of 4780 and 4784.

Prime Factorization of 4780


2 4780
2 2390
5 1195
239 239
1

Prime factors of 4780 are 2, 5,239. Prime factorization of 4780 in exponential form is:

4780 = 22×51×2391

Prime Factorization of 4784


2 4784
2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 4784 are 2, 13,23. Prime factorization of 4784 in exponential form is:

4784 = 24×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4780 and 4784.

LCM(4780,4784) = 24×51×131×231×2391
LCM(4780,4784) = 5716880

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780

Factors of 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784

Least Common Multiple of 4780 and 4784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4780 and 4784, than apply into the LCM equation.

GCF(4780,4784) = 4
LCM(4780,4784) = ( 4780 × 4784) / 4
LCM(4780,4784) = 22867520 / 4
LCM(4780,4784) = 5716880

Properties of LCM 4780 and 4784

(i) The LCM of 4784 and 4780 is associative

LCM of 4780 and 4784 = LCM of 4784 and 4780

Related Least Common Multiples of 4780

Related Least Common Multiples of 4784

Frequently Asked Questions on LCM of 4780 and 4784

1. What is the LCM of 4780 and 4784?

Answer: LCM of 4780 and 4784 is 5716880.

2. What are the Factors of 4780?

Answer: Factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780. There are 12 integers that are factors of 4780. The greatest factor of 4780 is 4780.

3. What are the Factors of 4784?

Answer: Factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784. There are 20 integers that are factors of 4784. The greatest factor of 4784 is 4784.

4. How to Find the LCM of 4780 and 4784?

Answer:

Least Common Multiple of 4780 and 4784 = 5716880

Step 1: Find the prime factorization of 4780

4780 = 2 x 2 x 5 x 239

Step 2: Find the prime factorization of 4784

4784 = 2 x 2 x 2 x 2 x 13 x 23

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

LCM = 5716880 = 2 x 2 x 2 x 2 x 5 x 13 x 23 x 239

Step 4: Therefore, the least common multiple of 4780 and 4784 is 5716880.