Least Common Multiple of 4784 and 4792

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 4792 the smallest integer that is 2865616 that is divisible by both numbers.

Least Common Multiple (LCM) of 4784 and 4792 is 2865616.

LCM(4784,4792) = 2865616

LCM of 4784 and 4792

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

LCM of:
and

Least Common Multiple of 4784 and 4792

LCM of 4784 and 4792 is 2865616

Least common multiple can be found by multiplying the highest exponent prime factors of 4784 and 4792. First we will calculate the prime factors of 4784 and 4792.

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 4792


2 4792
2 2396
2 1198
599 599
1

Prime factors of 4792 are 2,599. Prime factorization of 4792 in exponential form is:

4792 = 23×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 4784 and 4792.

LCM(4784,4792) = 24×131×231×5991
LCM(4784,4792) = 2865616

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 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1, 2, 4, 8, 599, 1198, 2396, 4792

Least Common Multiple of 4784 and 4792 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 4792, than apply into the LCM equation.

GCF(4784,4792) = 8
LCM(4784,4792) = ( 4784 × 4792) / 8
LCM(4784,4792) = 22924928 / 8
LCM(4784,4792) = 2865616

Properties of LCM 4784 and 4792

(i) The LCM of 4792 and 4784 is associative

LCM of 4784 and 4792 = LCM of 4792 and 4784

Related Least Common Multiples of 4784

Related Least Common Multiples of 4792

Frequently Asked Questions on LCM of 4784 and 4792

1. What is the LCM of 4784 and 4792?

Answer: LCM of 4784 and 4792 is 2865616.

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 4792?

Answer: Factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792. There are 8 integers that are factors of 4792. The greatest factor of 4792 is 4792.

4. How to Find the LCM of 4784 and 4792?

Answer:

Least Common Multiple of 4784 and 4792 = 2865616

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 4792

4792 = 2 x 2 x 2 x 599

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

LCM = 2865616 = 2 x 2 x 2 x 2 x 13 x 23 x 599

Step 4: Therefore, the least common multiple of 4784 and 4792 is 2865616.