Least Common Multiple of 4791 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 4791 and 4798 the smallest integer that is 22987218 that is divisible by both numbers.

Least Common Multiple (LCM) of 4791 and 4798 is 22987218.

LCM(4791,4798) = 22987218

LCM of 4791 and 4798

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

LCM of:
and

Least Common Multiple of 4791 and 4798

LCM of 4791 and 4798 is 22987218

Least common multiple can be found by multiplying the highest exponent prime factors of 4791 and 4798. First we will calculate the prime factors of 4791 and 4798.

Prime Factorization of 4791


3 4791
1597 1597
1

Prime factors of 4791 are 3,1597. Prime factorization of 4791 in exponential form is:

4791 = 31×15971

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 4791 and 4798.

LCM(4791,4798) = 21×31×15971×23991
LCM(4791,4798) = 22987218

Factors of 4791

List of positive integer factors of 4791 that divides 4791 without a remainder.

1, 3, 1597, 4791

Factors of 4798

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

1, 2, 2399, 4798

Least Common Multiple of 4791 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 4791 and 4798, than apply into the LCM equation.

GCF(4791,4798) = 1
LCM(4791,4798) = ( 4791 × 4798) / 1
LCM(4791,4798) = 22987218 / 1
LCM(4791,4798) = 22987218

Properties of LCM 4791 and 4798

(i) The LCM of 4798 and 4791 is associative

LCM of 4791 and 4798 = LCM of 4798 and 4791

Related Least Common Multiples of 4791

Related Least Common Multiples of 4798

Frequently Asked Questions on LCM of 4791 and 4798

1. What is the LCM of 4791 and 4798?

Answer: LCM of 4791 and 4798 is 22987218.

2. What are the Factors of 4791?

Answer: Factors of 4791 are 1, 3, 1597, 4791. There are 4 integers that are factors of 4791. The greatest factor of 4791 is 4791.

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 4791 and 4798?

Answer:

Least Common Multiple of 4791 and 4798 = 22987218

Step 1: Find the prime factorization of 4791

4791 = 3 x 1597

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 = 22987218 = 2 x 3 x 1597 x 2399

Step 4: Therefore, the least common multiple of 4791 and 4798 is 22987218.