Least Common Multiple of 1396 and 1404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1396 and 1404 the smallest integer that is 489996 that is divisible by both numbers.

Least Common Multiple (LCM) of 1396 and 1404 is 489996.

LCM(1396,1404) = 489996

LCM of 1396 and 1404

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

LCM of:
and

Least Common Multiple of 1396 and 1404

LCM of 1396 and 1404 is 489996

Least common multiple can be found by multiplying the highest exponent prime factors of 1396 and 1404. First we will calculate the prime factors of 1396 and 1404.

Prime Factorization of 1396


2 1396
2 698
349 349
1

Prime factors of 1396 are 2,349. Prime factorization of 1396 in exponential form is:

1396 = 22×3491

Prime Factorization of 1404


2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 1404 are 2, 3,13. Prime factorization of 1404 in exponential form is:

1404 = 22×33×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1396 and 1404.

LCM(1396,1404) = 22×33×131×3491
LCM(1396,1404) = 489996

Factors of 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1, 2, 4, 349, 698, 1396

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404

Least Common Multiple of 1396 and 1404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1396 and 1404, than apply into the LCM equation.

GCF(1396,1404) = 4
LCM(1396,1404) = ( 1396 × 1404) / 4
LCM(1396,1404) = 1959984 / 4
LCM(1396,1404) = 489996

Properties of LCM 1396 and 1404

(i) The LCM of 1404 and 1396 is associative

LCM of 1396 and 1404 = LCM of 1404 and 1396

Related Least Common Multiples of 1396

Related Least Common Multiples of 1404

Frequently Asked Questions on LCM of 1396 and 1404

1. What is the LCM of 1396 and 1404?

Answer: LCM of 1396 and 1404 is 489996.

2. What are the Factors of 1396?

Answer: Factors of 1396 are 1, 2, 4, 349, 698, 1396. There are 6 integers that are factors of 1396. The greatest factor of 1396 is 1396.

3. What are the Factors of 1404?

Answer: Factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404. There are 24 integers that are factors of 1404. The greatest factor of 1404 is 1404.

4. How to Find the LCM of 1396 and 1404?

Answer:

Least Common Multiple of 1396 and 1404 = 489996

Step 1: Find the prime factorization of 1396

1396 = 2 x 2 x 349

Step 2: Find the prime factorization of 1404

1404 = 2 x 2 x 3 x 3 x 3 x 13

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

LCM = 489996 = 2 x 2 x 3 x 3 x 3 x 13 x 349

Step 4: Therefore, the least common multiple of 1396 and 1404 is 489996.