Least Common Multiple of 4789 and 4794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4789 and 4794 the smallest integer that is 22958466 that is divisible by both numbers.

Least Common Multiple (LCM) of 4789 and 4794 is 22958466.

LCM(4789,4794) = 22958466

LCM of 4789 and 4794

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

LCM of:
and

Least Common Multiple of 4789 and 4794

LCM of 4789 and 4794 is 22958466

Least common multiple can be found by multiplying the highest exponent prime factors of 4789 and 4794. First we will calculate the prime factors of 4789 and 4794.

Prime Factorization of 4789


4789 4789
1

Prime factors of 4789 are 4789. Prime factorization of 4789 in exponential form is:

4789 = 47891

Prime Factorization of 4794


2 4794
3 2397
17 799
47 47
1

Prime factors of 4794 are 2, 3, 17,47. Prime factorization of 4794 in exponential form is:

4794 = 21×31×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4789 and 4794.

LCM(4789,4794) = 21×31×171×471×47891
LCM(4789,4794) = 22958466

Factors of 4789

List of positive integer factors of 4789 that divides 4789 without a remainder.

1, 4789

Factors of 4794

List of positive integer factors of 4794 that divides 4794 without a remainder.

1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794

Least Common Multiple of 4789 and 4794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4789 and 4794, than apply into the LCM equation.

GCF(4789,4794) = 1
LCM(4789,4794) = ( 4789 × 4794) / 1
LCM(4789,4794) = 22958466 / 1
LCM(4789,4794) = 22958466

Properties of LCM 4789 and 4794

(i) The LCM of 4794 and 4789 is associative

LCM of 4789 and 4794 = LCM of 4794 and 4789

Related Least Common Multiples of 4789

Related Least Common Multiples of 4794

Frequently Asked Questions on LCM of 4789 and 4794

1. What is the LCM of 4789 and 4794?

Answer: LCM of 4789 and 4794 is 22958466.

2. What are the Factors of 4789?

Answer: Factors of 4789 are 1, 4789. There are 2 integers that are factors of 4789. The greatest factor of 4789 is 4789.

3. What are the Factors of 4794?

Answer: Factors of 4794 are 1, 2, 3, 6, 17, 34, 47, 51, 94, 102, 141, 282, 799, 1598, 2397, 4794. There are 16 integers that are factors of 4794. The greatest factor of 4794 is 4794.

4. How to Find the LCM of 4789 and 4794?

Answer:

Least Common Multiple of 4789 and 4794 = 22958466

Step 1: Find the prime factorization of 4789

4789 = 4789

Step 2: Find the prime factorization of 4794

4794 = 2 x 3 x 17 x 47

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

LCM = 22958466 = 2 x 3 x 17 x 47 x 4789

Step 4: Therefore, the least common multiple of 4789 and 4794 is 22958466.