Least Common Multiple of 4788 and 4794

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 4794 the smallest integer that is 3825612 that is divisible by both numbers.

Least Common Multiple (LCM) of 4788 and 4794 is 3825612.

LCM(4788,4794) = 3825612

LCM of 4788 and 4794

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

LCM of:
and

Least Common Multiple of 4788 and 4794

LCM of 4788 and 4794 is 3825612

Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4794. First we will calculate the prime factors of 4788 and 4794.

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 4794


2 4794
3 2397
17 799
47 47
1

Prime factors of 4794 are 2, 3, 17,47. Prime factorization of 4794 in exponential form is:

4794 = 21×31×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4788 and 4794.

LCM(4788,4794) = 22×32×71×171×191×471
LCM(4788,4794) = 3825612

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 4794

List of positive integer factors of 4794 that divides 4794 without a remainder.

1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794

Least Common Multiple of 4788 and 4794 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 4794, than apply into the LCM equation.

GCF(4788,4794) = 6
LCM(4788,4794) = ( 4788 × 4794) / 6
LCM(4788,4794) = 22953672 / 6
LCM(4788,4794) = 3825612

Properties of LCM 4788 and 4794

(i) The LCM of 4794 and 4788 is associative

LCM of 4788 and 4794 = LCM of 4794 and 4788

Related Least Common Multiples of 4788

Related Least Common Multiples of 4794

Frequently Asked Questions on LCM of 4788 and 4794

1. What is the LCM of 4788 and 4794?

Answer: LCM of 4788 and 4794 is 3825612.

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 4794?

Answer: Factors of 4794 are 1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794. There are 16 integers that are factors of 4794. The greatest factor of 4794 is 4794.

4. How to Find the LCM of 4788 and 4794?

Answer:

Least Common Multiple of 4788 and 4794 = 3825612

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 4794

4794 = 2 x 3 x 17 x 47

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

LCM = 3825612 = 2 x 2 x 3 x 3 x 7 x 17 x 19 x 47

Step 4: Therefore, the least common multiple of 4788 and 4794 is 3825612.