Least Common Multiple of 1394 and 1401

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 1401 the smallest integer that is 1952994 that is divisible by both numbers.

Least Common Multiple (LCM) of 1394 and 1401 is 1952994.

LCM(1394,1401) = 1952994

LCM of 1394 and 1401

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

LCM of:
and

Least Common Multiple of 1394 and 1401

LCM of 1394 and 1401 is 1952994

Least common multiple can be found by multiplying the highest exponent prime factors of 1394 and 1401. First we will calculate the prime factors of 1394 and 1401.

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 1401


3 1401
467 467
1

Prime factors of 1401 are 3,467. Prime factorization of 1401 in exponential form is:

1401 = 31×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 1394 and 1401.

LCM(1394,1401) = 21×31×171×411×4671
LCM(1394,1401) = 1952994

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 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1, 3, 467, 1401

Least Common Multiple of 1394 and 1401 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 1401, than apply into the LCM equation.

GCF(1394,1401) = 1
LCM(1394,1401) = ( 1394 × 1401) / 1
LCM(1394,1401) = 1952994 / 1
LCM(1394,1401) = 1952994

Properties of LCM 1394 and 1401

(i) The LCM of 1401 and 1394 is associative

LCM of 1394 and 1401 = LCM of 1401 and 1394

Related Least Common Multiples of 1394

Related Least Common Multiples of 1401

Frequently Asked Questions on LCM of 1394 and 1401

1. What is the LCM of 1394 and 1401?

Answer: LCM of 1394 and 1401 is 1952994.

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 1401?

Answer: Factors of 1401 are 1, 3, 467, 1401. There are 4 integers that are factors of 1401. The greatest factor of 1401 is 1401.

4. How to Find the LCM of 1394 and 1401?

Answer:

Least Common Multiple of 1394 and 1401 = 1952994

Step 1: Find the prime factorization of 1394

1394 = 2 x 17 x 41

Step 2: Find the prime factorization of 1401

1401 = 3 x 467

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

LCM = 1952994 = 2 x 3 x 17 x 41 x 467

Step 4: Therefore, the least common multiple of 1394 and 1401 is 1952994.