Least Common Multiple of 1394 and 1398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1394 and 1398 the smallest integer that is 974406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1394 and 1398 is 974406.

LCM(1394,1398) = 974406

LCM of 1394 and 1398

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

LCM of:
and

Least Common Multiple of 1394 and 1398

LCM of 1394 and 1398 is 974406

Least common multiple can be found by multiplying the highest exponent prime factors of 1394 and 1398. First we will calculate the prime factors of 1394 and 1398.

Prime Factorization of 1394


2 1394
17 697
41 41
1

Prime factors of 1394 are 2, 17,41. Prime factorization of 1394 in exponential form is:

1394 = 21×171×411

Prime Factorization of 1398


2 1398
3 699
233 233
1

Prime factors of 1398 are 2, 3,233. Prime factorization of 1398 in exponential form is:

1398 = 21×31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1394 and 1398.

LCM(1394,1398) = 21×31×171×411×2331
LCM(1394,1398) = 974406

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1, 2, 17, 34, 41, 82, 697, 1394

Factors of 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1, 2, 3, 6, 233, 466, 699, 1398

Least Common Multiple of 1394 and 1398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1394 and 1398, than apply into the LCM equation.

GCF(1394,1398) = 2
LCM(1394,1398) = ( 1394 × 1398) / 2
LCM(1394,1398) = 1948812 / 2
LCM(1394,1398) = 974406

Properties of LCM 1394 and 1398

(i) The LCM of 1398 and 1394 is associative

LCM of 1394 and 1398 = LCM of 1398 and 1394

Related Least Common Multiples of 1394

Related Least Common Multiples of 1398

Frequently Asked Questions on LCM of 1394 and 1398

1. What is the LCM of 1394 and 1398?

Answer: LCM of 1394 and 1398 is 974406.

2. What are the Factors of 1394?

Answer: Factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394. There are 8 integers that are factors of 1394. The greatest factor of 1394 is 1394.

3. What are the Factors of 1398?

Answer: Factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398. There are 8 integers that are factors of 1398. The greatest factor of 1398 is 1398.

4. How to Find the LCM of 1394 and 1398?

Answer:

Least Common Multiple of 1394 and 1398 = 974406

Step 1: Find the prime factorization of 1394

1394 = 2 x 17 x 41

Step 2: Find the prime factorization of 1398

1398 = 2 x 3 x 233

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

LCM = 974406 = 2 x 3 x 17 x 41 x 233

Step 4: Therefore, the least common multiple of 1394 and 1398 is 974406.