Least Common Multiple of 4788 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 4788 and 4792 the smallest integer that is 5736024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4788 and 4792 is 5736024.

LCM(4788,4792) = 5736024

LCM of 4788 and 4792

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

LCM of:
and

Least Common Multiple of 4788 and 4792

LCM of 4788 and 4792 is 5736024

Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4792. First we will calculate the prime factors of 4788 and 4792.

Prime Factorization of 4788


2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 4788 are 2, 3, 7,19. Prime factorization of 4788 in exponential form is:

4788 = 22×32×71×191

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 4788 and 4792.

LCM(4788,4792) = 23×32×71×191×5991
LCM(4788,4792) = 5736024

Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788

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 4788 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 4788 and 4792, than apply into the LCM equation.

GCF(4788,4792) = 4
LCM(4788,4792) = ( 4788 × 4792) / 4
LCM(4788,4792) = 22944096 / 4
LCM(4788,4792) = 5736024

Properties of LCM 4788 and 4792

(i) The LCM of 4792 and 4788 is associative

LCM of 4788 and 4792 = LCM of 4792 and 4788

Related Least Common Multiples of 4788

Related Least Common Multiples of 4792

Frequently Asked Questions on LCM of 4788 and 4792

1. What is the LCM of 4788 and 4792?

Answer: LCM of 4788 and 4792 is 5736024.

2. What are the Factors of 4788?

Answer: Factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. There are 36 integers that are factors of 4788. The greatest factor of 4788 is 4788.

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 4788 and 4792?

Answer:

Least Common Multiple of 4788 and 4792 = 5736024

Step 1: Find the prime factorization of 4788

4788 = 2 x 2 x 3 x 3 x 7 x 19

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 = 5736024 = 2 x 2 x 2 x 3 x 3 x 7 x 19 x 599

Step 4: Therefore, the least common multiple of 4788 and 4792 is 5736024.