Least Common Multiple of 4790 and 4793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4790 and 4793 the smallest integer that is 22958470 that is divisible by both numbers.

Least Common Multiple (LCM) of 4790 and 4793 is 22958470.

LCM(4790,4793) = 22958470

LCM of 4790 and 4793

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

LCM of:
and

Least Common Multiple of 4790 and 4793

LCM of 4790 and 4793 is 22958470

Least common multiple can be found by multiplying the highest exponent prime factors of 4790 and 4793. First we will calculate the prime factors of 4790 and 4793.

Prime Factorization of 4790


2 4790
5 2395
479 479
1

Prime factors of 4790 are 2, 5,479. Prime factorization of 4790 in exponential form is:

4790 = 21×51×4791

Prime Factorization of 4793


4793 4793
1

Prime factors of 4793 are 4793. Prime factorization of 4793 in exponential form is:

4793 = 47931

Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4793.

LCM(4790,4793) = 21×51×4791×47931
LCM(4790,4793) = 22958470

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1, 2, 5, 10, 479, 958, 2395, 4790

Factors of 4793

List of positive integer factors of 4793 that divides 4793 without a remainder.

1, 4793

Least Common Multiple of 4790 and 4793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4790 and 4793, than apply into the LCM equation.

GCF(4790,4793) = 1
LCM(4790,4793) = ( 4790 × 4793) / 1
LCM(4790,4793) = 22958470 / 1
LCM(4790,4793) = 22958470

Properties of LCM 4790 and 4793

(i) The LCM of 4793 and 4790 is associative

LCM of 4790 and 4793 = LCM of 4793 and 4790

Frequently Asked Questions on LCM of 4790 and 4793

1. What is the LCM of 4790 and 4793?

Answer: LCM of 4790 and 4793 is 22958470.

2. What are the Factors of 4790?

Answer: Factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790. There are 8 integers that are factors of 4790. The greatest factor of 4790 is 4790.

3. What are the Factors of 4793?

Answer: Factors of 4793 are 1, 4793. There are 2 integers that are factors of 4793. The greatest factor of 4793 is 4793.

4. How to Find the LCM of 4790 and 4793?

Answer:

Least Common Multiple of 4790 and 4793 = 22958470

Step 1: Find the prime factorization of 4790

4790 = 2 x 5 x 479

Step 2: Find the prime factorization of 4793

4793 = 4793

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

LCM = 22958470 = 2 x 5 x 479 x 4793

Step 4: Therefore, the least common multiple of 4790 and 4793 is 22958470.