Least Common Multiple of 1384 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 1384 and 1392 the smallest integer that is 240816 that is divisible by both numbers.

Least Common Multiple (LCM) of 1384 and 1392 is 240816.

LCM(1384,1392) = 240816

LCM of 1384 and 1392

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

LCM of:
and

Least Common Multiple of 1384 and 1392

LCM of 1384 and 1392 is 240816

Least common multiple can be found by multiplying the highest exponent prime factors of 1384 and 1392. First we will calculate the prime factors of 1384 and 1392.

Prime Factorization of 1384


2 1384
2 692
2 346
173 173
1

Prime factors of 1384 are 2,173. Prime factorization of 1384 in exponential form is:

1384 = 23×1731

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 1384 and 1392.

LCM(1384,1392) = 24×31×291×1731
LCM(1384,1392) = 240816

Factors of 1384

List of positive integer factors of 1384 that divides 1384 without a remainder.

1, 2, 4, 8, 173, 346, 692, 1384

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 1384 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 1384 and 1392, than apply into the LCM equation.

GCF(1384,1392) = 8
LCM(1384,1392) = ( 1384 × 1392) / 8
LCM(1384,1392) = 1926528 / 8
LCM(1384,1392) = 240816

Properties of LCM 1384 and 1392

(i) The LCM of 1392 and 1384 is associative

LCM of 1384 and 1392 = LCM of 1392 and 1384

Related Least Common Multiples of 1384

Related Least Common Multiples of 1392

Frequently Asked Questions on LCM of 1384 and 1392

1. What is the LCM of 1384 and 1392?

Answer: LCM of 1384 and 1392 is 240816.

2. What are the Factors of 1384?

Answer: Factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384. There are 8 integers that are factors of 1384. The greatest factor of 1384 is 1384.

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 1384 and 1392?

Answer:

Least Common Multiple of 1384 and 1392 = 240816

Step 1: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

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 = 240816 = 2 x 2 x 2 x 2 x 3 x 29 x 173

Step 4: Therefore, the least common multiple of 1384 and 1392 is 240816.