Least Common Multiple of 1392 and 1396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1392 and 1396 the smallest integer that is 485808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1392 and 1396 is 485808.

LCM(1392,1396) = 485808

LCM of 1392 and 1396

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

LCM of:
and

Least Common Multiple of 1392 and 1396

LCM of 1392 and 1396 is 485808

Least common multiple can be found by multiplying the highest exponent prime factors of 1392 and 1396. First we will calculate the prime factors of 1392 and 1396.

Prime Factorization of 1392


2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 1392 are 2, 3,29. Prime factorization of 1392 in exponential form is:

1392 = 24×31×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1392 and 1396.

LCM(1392,1396) = 24×31×291×3491
LCM(1392,1396) = 485808

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392

Factors of 1396

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

1, 2, 4, 349, 698, 1396

Least Common Multiple of 1392 and 1396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1392 and 1396, than apply into the LCM equation.

GCF(1392,1396) = 4
LCM(1392,1396) = ( 1392 × 1396) / 4
LCM(1392,1396) = 1943232 / 4
LCM(1392,1396) = 485808

Properties of LCM 1392 and 1396

(i) The LCM of 1396 and 1392 is associative

LCM of 1392 and 1396 = LCM of 1396 and 1392

Related Least Common Multiples of 1392

Related Least Common Multiples of 1396

Frequently Asked Questions on LCM of 1392 and 1396

1. What is the LCM of 1392 and 1396?

Answer: LCM of 1392 and 1396 is 485808.

2. What are the Factors of 1392?

Answer: Factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392. There are 20 integers that are factors of 1392. The greatest factor of 1392 is 1392.

3. 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.

4. How to Find the LCM of 1392 and 1396?

Answer:

Least Common Multiple of 1392 and 1396 = 485808

Step 1: Find the prime factorization of 1392

1392 = 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 1396

1396 = 2 x 2 x 349

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

LCM = 485808 = 2 x 2 x 2 x 2 x 3 x 29 x 349

Step 4: Therefore, the least common multiple of 1392 and 1396 is 485808.