Least Common Multiple of 4788 and 4796

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 4796 the smallest integer that is 5740812 that is divisible by both numbers.

Least Common Multiple (LCM) of 4788 and 4796 is 5740812.

LCM(4788,4796) = 5740812

LCM of 4788 and 4796

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

LCM of:
and

Least Common Multiple of 4788 and 4796

LCM of 4788 and 4796 is 5740812

Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4796. First we will calculate the prime factors of 4788 and 4796.

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 4796


2 4796
2 2398
11 1199
109 109
1

Prime factors of 4796 are 2, 11,109. Prime factorization of 4796 in exponential form is:

4796 = 22×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4788 and 4796.

LCM(4788,4796) = 22×32×71×111×191×1091
LCM(4788,4796) = 5740812

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 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796

Least Common Multiple of 4788 and 4796 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 4796, than apply into the LCM equation.

GCF(4788,4796) = 4
LCM(4788,4796) = ( 4788 × 4796) / 4
LCM(4788,4796) = 22963248 / 4
LCM(4788,4796) = 5740812

Properties of LCM 4788 and 4796

(i) The LCM of 4796 and 4788 is associative

LCM of 4788 and 4796 = LCM of 4796 and 4788

Related Least Common Multiples of 4788

Related Least Common Multiples of 4796

Frequently Asked Questions on LCM of 4788 and 4796

1. What is the LCM of 4788 and 4796?

Answer: LCM of 4788 and 4796 is 5740812.

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 4796?

Answer: Factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. There are 12 integers that are factors of 4796. The greatest factor of 4796 is 4796.

4. How to Find the LCM of 4788 and 4796?

Answer:

Least Common Multiple of 4788 and 4796 = 5740812

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 4796

4796 = 2 x 2 x 11 x 109

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

LCM = 5740812 = 2 x 2 x 3 x 3 x 7 x 11 x 19 x 109

Step 4: Therefore, the least common multiple of 4788 and 4796 is 5740812.