Least Common Multiple of 1393 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 1393 and 1398 the smallest integer that is 1947414 that is divisible by both numbers.

Least Common Multiple (LCM) of 1393 and 1398 is 1947414.

LCM(1393,1398) = 1947414

LCM of 1393 and 1398

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

LCM of:
and

Least Common Multiple of 1393 and 1398

LCM of 1393 and 1398 is 1947414

Least common multiple can be found by multiplying the highest exponent prime factors of 1393 and 1398. First we will calculate the prime factors of 1393 and 1398.

Prime Factorization of 1393


7 1393
199 199
1

Prime factors of 1393 are 7,199. Prime factorization of 1393 in exponential form is:

1393 = 71×1991

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 1393 and 1398.

LCM(1393,1398) = 21×31×71×1991×2331
LCM(1393,1398) = 1947414

Factors of 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1, 7, 199, 1393

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 1393 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 1393 and 1398, than apply into the LCM equation.

GCF(1393,1398) = 1
LCM(1393,1398) = ( 1393 × 1398) / 1
LCM(1393,1398) = 1947414 / 1
LCM(1393,1398) = 1947414

Properties of LCM 1393 and 1398

(i) The LCM of 1398 and 1393 is associative

LCM of 1393 and 1398 = LCM of 1398 and 1393

Related Least Common Multiples of 1393

Related Least Common Multiples of 1398

Frequently Asked Questions on LCM of 1393 and 1398

1. What is the LCM of 1393 and 1398?

Answer: LCM of 1393 and 1398 is 1947414.

2. What are the Factors of 1393?

Answer: Factors of 1393 are 1, 7, 199, 1393. There are 4 integers that are factors of 1393. The greatest factor of 1393 is 1393.

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 1393 and 1398?

Answer:

Least Common Multiple of 1393 and 1398 = 1947414

Step 1: Find the prime factorization of 1393

1393 = 7 x 199

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 = 1947414 = 2 x 3 x 7 x 199 x 233

Step 4: Therefore, the least common multiple of 1393 and 1398 is 1947414.