Least Common Multiple of 4784 and 4790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4784 and 4790 the smallest integer that is 11457680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4784 and 4790 is 11457680.

LCM(4784,4790) = 11457680

LCM of 4784 and 4790

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

LCM of:
and

Least Common Multiple of 4784 and 4790

LCM of 4784 and 4790 is 11457680

Least common multiple can be found by multiplying the highest exponent prime factors of 4784 and 4790. First we will calculate the prime factors of 4784 and 4790.

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

Prime Factorization of 4790


2 4790
5 2395
479 479
1

Prime factors of 4790 are 2, 5,479. Prime factorization of 4790 in exponential form is:

4790 = 21×51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 4784 and 4790.

LCM(4784,4790) = 24×51×131×231×4791
LCM(4784,4790) = 11457680

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

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1, 2, 5, 10, 479, 958, 2395, 4790

Least Common Multiple of 4784 and 4790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4784 and 4790, than apply into the LCM equation.

GCF(4784,4790) = 2
LCM(4784,4790) = ( 4784 × 4790) / 2
LCM(4784,4790) = 22915360 / 2
LCM(4784,4790) = 11457680

Properties of LCM 4784 and 4790

(i) The LCM of 4790 and 4784 is associative

LCM of 4784 and 4790 = LCM of 4790 and 4784

Related Least Common Multiples of 4784

Related Least Common Multiples of 4790

Frequently Asked Questions on LCM of 4784 and 4790

1. What is the LCM of 4784 and 4790?

Answer: LCM of 4784 and 4790 is 11457680.

2. 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.

3. What are the Factors of 4790?

Answer: Factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790. There are 8 integers that are factors of 4790. The greatest factor of 4790 is 4790.

4. How to Find the LCM of 4784 and 4790?

Answer:

Least Common Multiple of 4784 and 4790 = 11457680

Step 1: Find the prime factorization of 4784

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

Step 2: Find the prime factorization of 4790

4790 = 2 x 5 x 479

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

LCM = 11457680 = 2 x 2 x 2 x 2 x 5 x 13 x 23 x 479

Step 4: Therefore, the least common multiple of 4784 and 4790 is 11457680.