Least Common Multiple of 4784 and 4787

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 4787 the smallest integer that is 22901008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4784 and 4787 is 22901008.

LCM(4784,4787) = 22901008

LCM of 4784 and 4787

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

LCM of:
and

Least Common Multiple of 4784 and 4787

LCM of 4784 and 4787 is 22901008

Least common multiple can be found by multiplying the highest exponent prime factors of 4784 and 4787. First we will calculate the prime factors of 4784 and 4787.

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 4787


4787 4787
1

Prime factors of 4787 are 4787. Prime factorization of 4787 in exponential form is:

4787 = 47871

Now multiplying the highest exponent prime factors to calculate the LCM of 4784 and 4787.

LCM(4784,4787) = 24×131×231×47871
LCM(4784,4787) = 22901008

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 4787

List of positive integer factors of 4787 that divides 4787 without a remainder.

1, 4787

Least Common Multiple of 4784 and 4787 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 4787, than apply into the LCM equation.

GCF(4784,4787) = 1
LCM(4784,4787) = ( 4784 × 4787) / 1
LCM(4784,4787) = 22901008 / 1
LCM(4784,4787) = 22901008

Properties of LCM 4784 and 4787

(i) The LCM of 4787 and 4784 is associative

LCM of 4784 and 4787 = LCM of 4787 and 4784

Related Least Common Multiples of 4784

Related Least Common Multiples of 4787

Frequently Asked Questions on LCM of 4784 and 4787

1. What is the LCM of 4784 and 4787?

Answer: LCM of 4784 and 4787 is 22901008.

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 4787?

Answer: Factors of 4787 are 1, 4787. There are 2 integers that are factors of 4787. The greatest factor of 4787 is 4787.

4. How to Find the LCM of 4784 and 4787?

Answer:

Least Common Multiple of 4784 and 4787 = 22901008

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 4787

4787 = 4787

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

LCM = 22901008 = 2 x 2 x 2 x 2 x 13 x 23 x 4787

Step 4: Therefore, the least common multiple of 4784 and 4787 is 22901008.