Least Common Multiple of 4786 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 4786 and 4794 the smallest integer that is 11472042 that is divisible by both numbers.

Least Common Multiple (LCM) of 4786 and 4794 is 11472042.

LCM(4786,4794) = 11472042

LCM of 4786 and 4794

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

LCM of:
and

Least Common Multiple of 4786 and 4794

LCM of 4786 and 4794 is 11472042

Least common multiple can be found by multiplying the highest exponent prime factors of 4786 and 4794. First we will calculate the prime factors of 4786 and 4794.

Prime Factorization of 4786


2 4786
2393 2393
1

Prime factors of 4786 are 2,2393. Prime factorization of 4786 in exponential form is:

4786 = 21×23931

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 4786 and 4794.

LCM(4786,4794) = 21×31×171×471×23931
LCM(4786,4794) = 11472042

Factors of 4786

List of positive integer factors of 4786 that divides 4786 without a remainder.

1, 2, 2393, 4786

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 4786 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 4786 and 4794, than apply into the LCM equation.

GCF(4786,4794) = 2
LCM(4786,4794) = ( 4786 × 4794) / 2
LCM(4786,4794) = 22944084 / 2
LCM(4786,4794) = 11472042

Properties of LCM 4786 and 4794

(i) The LCM of 4794 and 4786 is associative

LCM of 4786 and 4794 = LCM of 4794 and 4786

Related Least Common Multiples of 4786

Related Least Common Multiples of 4794

Frequently Asked Questions on LCM of 4786 and 4794

1. What is the LCM of 4786 and 4794?

Answer: LCM of 4786 and 4794 is 11472042.

2. What are the Factors of 4786?

Answer: Factors of 4786 are 1, 2, 2393, 4786. There are 4 integers that are factors of 4786. The greatest factor of 4786 is 4786.

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 4786 and 4794?

Answer:

Least Common Multiple of 4786 and 4794 = 11472042

Step 1: Find the prime factorization of 4786

4786 = 2 x 2393

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 = 11472042 = 2 x 3 x 17 x 47 x 2393

Step 4: Therefore, the least common multiple of 4786 and 4794 is 11472042.