Least Common Multiple of 1398 and 1406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1398 and 1406 the smallest integer that is 982794 that is divisible by both numbers.

Least Common Multiple (LCM) of 1398 and 1406 is 982794.

LCM(1398,1406) = 982794

LCM of 1398 and 1406

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

LCM of:
and

Least Common Multiple of 1398 and 1406

LCM of 1398 and 1406 is 982794

Least common multiple can be found by multiplying the highest exponent prime factors of 1398 and 1406. First we will calculate the prime factors of 1398 and 1406.

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

Prime Factorization of 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2, 19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1398 and 1406.

LCM(1398,1406) = 21×31×191×371×2331
LCM(1398,1406) = 982794

Factors of 1398

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

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

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1, 2, 19, 37, 38, 74, 703, 1406

Least Common Multiple of 1398 and 1406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1398 and 1406, than apply into the LCM equation.

GCF(1398,1406) = 2
LCM(1398,1406) = ( 1398 × 1406) / 2
LCM(1398,1406) = 1965588 / 2
LCM(1398,1406) = 982794

Properties of LCM 1398 and 1406

(i) The LCM of 1406 and 1398 is associative

LCM of 1398 and 1406 = LCM of 1406 and 1398

Related Least Common Multiples of 1398

Related Least Common Multiples of 1406

Frequently Asked Questions on LCM of 1398 and 1406

1. What is the LCM of 1398 and 1406?

Answer: LCM of 1398 and 1406 is 982794.

2. 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.

3. What are the Factors of 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

4. How to Find the LCM of 1398 and 1406?

Answer:

Least Common Multiple of 1398 and 1406 = 982794

Step 1: Find the prime factorization of 1398

1398 = 2 x 3 x 233

Step 2: Find the prime factorization of 1406

1406 = 2 x 19 x 37

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

LCM = 982794 = 2 x 3 x 19 x 37 x 233

Step 4: Therefore, the least common multiple of 1398 and 1406 is 982794.