Least Common Multiple of 4790 and 4798

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 4798 the smallest integer that is 11491210 that is divisible by both numbers.

Least Common Multiple (LCM) of 4790 and 4798 is 11491210.

LCM(4790,4798) = 11491210

LCM of 4790 and 4798

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

LCM of:
and

Least Common Multiple of 4790 and 4798

LCM of 4790 and 4798 is 11491210

Least common multiple can be found by multiplying the highest exponent prime factors of 4790 and 4798. First we will calculate the prime factors of 4790 and 4798.

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 4798


2 4798
2399 2399
1

Prime factors of 4798 are 2,2399. Prime factorization of 4798 in exponential form is:

4798 = 21×23991

Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4798.

LCM(4790,4798) = 21×51×4791×23991
LCM(4790,4798) = 11491210

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 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1, 2, 2399, 4798

Least Common Multiple of 4790 and 4798 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 4798, than apply into the LCM equation.

GCF(4790,4798) = 2
LCM(4790,4798) = ( 4790 × 4798) / 2
LCM(4790,4798) = 22982420 / 2
LCM(4790,4798) = 11491210

Properties of LCM 4790 and 4798

(i) The LCM of 4798 and 4790 is associative

LCM of 4790 and 4798 = LCM of 4798 and 4790

Related Least Common Multiples of 4790

Related Least Common Multiples of 4798

Frequently Asked Questions on LCM of 4790 and 4798

1. What is the LCM of 4790 and 4798?

Answer: LCM of 4790 and 4798 is 11491210.

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 4798?

Answer: Factors of 4798 are 1, 2, 2399, 4798. There are 4 integers that are factors of 4798. The greatest factor of 4798 is 4798.

4. How to Find the LCM of 4790 and 4798?

Answer:

Least Common Multiple of 4790 and 4798 = 11491210

Step 1: Find the prime factorization of 4790

4790 = 2 x 5 x 479

Step 2: Find the prime factorization of 4798

4798 = 2 x 2399

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

LCM = 11491210 = 2 x 5 x 479 x 2399

Step 4: Therefore, the least common multiple of 4790 and 4798 is 11491210.