Least Common Multiple of 4394 and 4398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4394 and 4398 the smallest integer that is 9662406 that is divisible by both numbers.

Least Common Multiple (LCM) of 4394 and 4398 is 9662406.

LCM(4394,4398) = 9662406

LCM of 4394 and 4398

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

LCM of:
and

Least Common Multiple of 4394 and 4398

LCM of 4394 and 4398 is 9662406

Least common multiple can be found by multiplying the highest exponent prime factors of 4394 and 4398. First we will calculate the prime factors of 4394 and 4398.

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

Prime Factorization of 4398


2 4398
3 2199
733 733
1

Prime factors of 4398 are 2, 3,733. Prime factorization of 4398 in exponential form is:

4398 = 21×31×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 4394 and 4398.

LCM(4394,4398) = 21×31×133×7331
LCM(4394,4398) = 9662406

Factors of 4394

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

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

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1, 2, 3, 6, 733, 1466, 2199, 4398

Least Common Multiple of 4394 and 4398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4394 and 4398, than apply into the LCM equation.

GCF(4394,4398) = 2
LCM(4394,4398) = ( 4394 × 4398) / 2
LCM(4394,4398) = 19324812 / 2
LCM(4394,4398) = 9662406

Properties of LCM 4394 and 4398

(i) The LCM of 4398 and 4394 is associative

LCM of 4394 and 4398 = LCM of 4398 and 4394

Related Least Common Multiples of 4394

Related Least Common Multiples of 4398

Frequently Asked Questions on LCM of 4394 and 4398

1. What is the LCM of 4394 and 4398?

Answer: LCM of 4394 and 4398 is 9662406.

2. 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.

3. What are the Factors of 4398?

Answer: Factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398. There are 8 integers that are factors of 4398. The greatest factor of 4398 is 4398.

4. How to Find the LCM of 4394 and 4398?

Answer:

Least Common Multiple of 4394 and 4398 = 9662406

Step 1: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

Step 2: Find the prime factorization of 4398

4398 = 2 x 3 x 733

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

LCM = 9662406 = 2 x 3 x 13 x 13 x 13 x 733

Step 4: Therefore, the least common multiple of 4394 and 4398 is 9662406.