Least Common Multiple of 1385 and 1392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1385 and 1392 the smallest integer that is 1927920 that is divisible by both numbers.

Least Common Multiple (LCM) of 1385 and 1392 is 1927920.

LCM(1385,1392) = 1927920

LCM of 1385 and 1392

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

LCM of:
and

Least Common Multiple of 1385 and 1392

LCM of 1385 and 1392 is 1927920

Least common multiple can be found by multiplying the highest exponent prime factors of 1385 and 1392. First we will calculate the prime factors of 1385 and 1392.

Prime Factorization of 1385


5 1385
277 277
1

Prime factors of 1385 are 5,277. Prime factorization of 1385 in exponential form is:

1385 = 51×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1385 and 1392.

LCM(1385,1392) = 24×31×51×291×2771
LCM(1385,1392) = 1927920

Factors of 1385

List of positive integer factors of 1385 that divides 1385 without a remainder.

1, 5, 277, 1385

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

Least Common Multiple of 1385 and 1392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1385 and 1392, than apply into the LCM equation.

GCF(1385,1392) = 1
LCM(1385,1392) = ( 1385 × 1392) / 1
LCM(1385,1392) = 1927920 / 1
LCM(1385,1392) = 1927920

Properties of LCM 1385 and 1392

(i) The LCM of 1392 and 1385 is associative

LCM of 1385 and 1392 = LCM of 1392 and 1385

Related Least Common Multiples of 1385

Related Least Common Multiples of 1392

Frequently Asked Questions on LCM of 1385 and 1392

1. What is the LCM of 1385 and 1392?

Answer: LCM of 1385 and 1392 is 1927920.

2. What are the Factors of 1385?

Answer: Factors of 1385 are 1, 5, 277, 1385. There are 4 integers that are factors of 1385. The greatest factor of 1385 is 1385.

3. 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.

4. How to Find the LCM of 1385 and 1392?

Answer:

Least Common Multiple of 1385 and 1392 = 1927920

Step 1: Find the prime factorization of 1385

1385 = 5 x 277

Step 2: Find the prime factorization of 1392

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

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

LCM = 1927920 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 277

Step 4: Therefore, the least common multiple of 1385 and 1392 is 1927920.