Least Common Multiple of 4788 and 4795

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 4795 the smallest integer that is 3279780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4788 and 4795 is 3279780.

LCM(4788,4795) = 3279780

LCM of 4788 and 4795

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

LCM of:
and

Least Common Multiple of 4788 and 4795

LCM of 4788 and 4795 is 3279780

Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4795. First we will calculate the prime factors of 4788 and 4795.

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 4795


5 4795
7 959
137 137
1

Prime factors of 4795 are 5, 7,137. Prime factorization of 4795 in exponential form is:

4795 = 51×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4788 and 4795.

LCM(4788,4795) = 22×32×51×71×191×1371
LCM(4788,4795) = 3279780

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 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1, 5, 7, 35, 137, 685, 959, 4795

Least Common Multiple of 4788 and 4795 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 4795, than apply into the LCM equation.

GCF(4788,4795) = 7
LCM(4788,4795) = ( 4788 × 4795) / 7
LCM(4788,4795) = 22958460 / 7
LCM(4788,4795) = 3279780

Properties of LCM 4788 and 4795

(i) The LCM of 4795 and 4788 is associative

LCM of 4788 and 4795 = LCM of 4795 and 4788

Related Least Common Multiples of 4788

Related Least Common Multiples of 4795

Frequently Asked Questions on LCM of 4788 and 4795

1. What is the LCM of 4788 and 4795?

Answer: LCM of 4788 and 4795 is 3279780.

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 4795?

Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.

4. How to Find the LCM of 4788 and 4795?

Answer:

Least Common Multiple of 4788 and 4795 = 3279780

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 4795

4795 = 5 x 7 x 137

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

LCM = 3279780 = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 137

Step 4: Therefore, the least common multiple of 4788 and 4795 is 3279780.