Least Common Multiple of 4798 and 4805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4798 and 4805 the smallest integer that is 23054390 that is divisible by both numbers.

Least Common Multiple (LCM) of 4798 and 4805 is 23054390.

LCM(4798,4805) = 23054390

LCM of 4798 and 4805

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

LCM of:
and

Least Common Multiple of 4798 and 4805

LCM of 4798 and 4805 is 23054390

Least common multiple can be found by multiplying the highest exponent prime factors of 4798 and 4805. First we will calculate the prime factors of 4798 and 4805.

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

Prime Factorization of 4805


5 4805
31 961
31 31
1

Prime factors of 4805 are 5,31. Prime factorization of 4805 in exponential form is:

4805 = 51×312

Now multiplying the highest exponent prime factors to calculate the LCM of 4798 and 4805.

LCM(4798,4805) = 21×51×312×23991
LCM(4798,4805) = 23054390

Factors of 4798

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

1, 2, 2399, 4798

Factors of 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1, 5, 31, 155, 961, 4805

Least Common Multiple of 4798 and 4805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4798 and 4805, than apply into the LCM equation.

GCF(4798,4805) = 1
LCM(4798,4805) = ( 4798 × 4805) / 1
LCM(4798,4805) = 23054390 / 1
LCM(4798,4805) = 23054390

Properties of LCM 4798 and 4805

(i) The LCM of 4805 and 4798 is associative

LCM of 4798 and 4805 = LCM of 4805 and 4798

Related Least Common Multiples of 4798

Related Least Common Multiples of 4805

Frequently Asked Questions on LCM of 4798 and 4805

1. What is the LCM of 4798 and 4805?

Answer: LCM of 4798 and 4805 is 23054390.

2. 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.

3. What are the Factors of 4805?

Answer: Factors of 4805 are 1, 5, 31, 155, 961, 4805. There are 6 integers that are factors of 4805. The greatest factor of 4805 is 4805.

4. How to Find the LCM of 4798 and 4805?

Answer:

Least Common Multiple of 4798 and 4805 = 23054390

Step 1: Find the prime factorization of 4798

4798 = 2 x 2399

Step 2: Find the prime factorization of 4805

4805 = 5 x 31 x 31

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

LCM = 23054390 = 2 x 5 x 31 x 31 x 2399

Step 4: Therefore, the least common multiple of 4798 and 4805 is 23054390.