Least Common Multiple of 4790 and 4797

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 4797 the smallest integer that is 22977630 that is divisible by both numbers.

Least Common Multiple (LCM) of 4790 and 4797 is 22977630.

LCM(4790,4797) = 22977630

LCM of 4790 and 4797

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

LCM of:
and

Least Common Multiple of 4790 and 4797

LCM of 4790 and 4797 is 22977630

Least common multiple can be found by multiplying the highest exponent prime factors of 4790 and 4797. First we will calculate the prime factors of 4790 and 4797.

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 4797


3 4797
3 1599
13 533
41 41
1

Prime factors of 4797 are 3, 13,41. Prime factorization of 4797 in exponential form is:

4797 = 32×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4797.

LCM(4790,4797) = 21×32×51×131×411×4791
LCM(4790,4797) = 22977630

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 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797

Least Common Multiple of 4790 and 4797 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 4797, than apply into the LCM equation.

GCF(4790,4797) = 1
LCM(4790,4797) = ( 4790 × 4797) / 1
LCM(4790,4797) = 22977630 / 1
LCM(4790,4797) = 22977630

Properties of LCM 4790 and 4797

(i) The LCM of 4797 and 4790 is associative

LCM of 4790 and 4797 = LCM of 4797 and 4790

Related Least Common Multiples of 4790

Related Least Common Multiples of 4797

Frequently Asked Questions on LCM of 4790 and 4797

1. What is the LCM of 4790 and 4797?

Answer: LCM of 4790 and 4797 is 22977630.

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 4797?

Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.

4. How to Find the LCM of 4790 and 4797?

Answer:

Least Common Multiple of 4790 and 4797 = 22977630

Step 1: Find the prime factorization of 4790

4790 = 2 x 5 x 479

Step 2: Find the prime factorization of 4797

4797 = 3 x 3 x 13 x 41

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

LCM = 22977630 = 2 x 3 x 3 x 5 x 13 x 41 x 479

Step 4: Therefore, the least common multiple of 4790 and 4797 is 22977630.