Least Common Multiple of 4782 and 4788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4782 and 4788 the smallest integer that is 3816036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4782 and 4788 is 3816036.

LCM(4782,4788) = 3816036

LCM of 4782 and 4788

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

LCM of:
and

Least Common Multiple of 4782 and 4788

LCM of 4782 and 4788 is 3816036

Least common multiple can be found by multiplying the highest exponent prime factors of 4782 and 4788. First we will calculate the prime factors of 4782 and 4788.

Prime Factorization of 4782


2 4782
3 2391
797 797
1

Prime factors of 4782 are 2, 3,797. Prime factorization of 4782 in exponential form is:

4782 = 21×31×7971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4782 and 4788.

LCM(4782,4788) = 22×32×71×191×7971
LCM(4782,4788) = 3816036

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1, 2, 3, 6, 797, 1594, 2391, 4782

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

Least Common Multiple of 4782 and 4788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4782 and 4788, than apply into the LCM equation.

GCF(4782,4788) = 6
LCM(4782,4788) = ( 4782 × 4788) / 6
LCM(4782,4788) = 22896216 / 6
LCM(4782,4788) = 3816036

Properties of LCM 4782 and 4788

(i) The LCM of 4788 and 4782 is associative

LCM of 4782 and 4788 = LCM of 4788 and 4782

Related Least Common Multiples of 4782

Related Least Common Multiples of 4788

Frequently Asked Questions on LCM of 4782 and 4788

1. What is the LCM of 4782 and 4788?

Answer: LCM of 4782 and 4788 is 3816036.

2. What are the Factors of 4782?

Answer: Factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782. There are 8 integers that are factors of 4782. The greatest factor of 4782 is 4782.

3. 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.

4. How to Find the LCM of 4782 and 4788?

Answer:

Least Common Multiple of 4782 and 4788 = 3816036

Step 1: Find the prime factorization of 4782

4782 = 2 x 3 x 797

Step 2: Find the prime factorization of 4788

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

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

LCM = 3816036 = 2 x 2 x 3 x 3 x 7 x 19 x 797

Step 4: Therefore, the least common multiple of 4782 and 4788 is 3816036.