Least Common Multiple of 4386 and 4394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4386 and 4394 the smallest integer that is 9636042 that is divisible by both numbers.

Least Common Multiple (LCM) of 4386 and 4394 is 9636042.

LCM(4386,4394) = 9636042

LCM of 4386 and 4394

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

LCM of:
and

Least Common Multiple of 4386 and 4394

LCM of 4386 and 4394 is 9636042

Least common multiple can be found by multiplying the highest exponent prime factors of 4386 and 4394. First we will calculate the prime factors of 4386 and 4394.

Prime Factorization of 4386


2 4386
3 2193
17 731
43 43
1

Prime factors of 4386 are 2, 3, 17,43. Prime factorization of 4386 in exponential form is:

4386 = 21×31×171×431

Prime Factorization of 4394


2 4394
13 2197
13 169
13 13
1

Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:

4394 = 21×133

Now multiplying the highest exponent prime factors to calculate the LCM of 4386 and 4394.

LCM(4386,4394) = 21×31×133×171×431
LCM(4386,4394) = 9636042

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1, 2, 13, 26, 169, 338, 2197, 4394

Least Common Multiple of 4386 and 4394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4386 and 4394, than apply into the LCM equation.

GCF(4386,4394) = 2
LCM(4386,4394) = ( 4386 × 4394) / 2
LCM(4386,4394) = 19272084 / 2
LCM(4386,4394) = 9636042

Properties of LCM 4386 and 4394

(i) The LCM of 4394 and 4386 is associative

LCM of 4386 and 4394 = LCM of 4394 and 4386

Related Least Common Multiples of 4386

Related Least Common Multiples of 4394

Frequently Asked Questions on LCM of 4386 and 4394

1. What is the LCM of 4386 and 4394?

Answer: LCM of 4386 and 4394 is 9636042.

2. What are the Factors of 4386?

Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.

3. What are the Factors of 4394?

Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.

4. How to Find the LCM of 4386 and 4394?

Answer:

Least Common Multiple of 4386 and 4394 = 9636042

Step 1: Find the prime factorization of 4386

4386 = 2 x 3 x 17 x 43

Step 2: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

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

LCM = 9636042 = 2 x 3 x 13 x 13 x 13 x 17 x 43

Step 4: Therefore, the least common multiple of 4386 and 4394 is 9636042.