Least Common Multiple of 1384 and 1390

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 1390 the smallest integer that is 961880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1384 and 1390 is 961880.

LCM(1384,1390) = 961880

LCM of 1384 and 1390

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

LCM of:
and

Least Common Multiple of 1384 and 1390

LCM of 1384 and 1390 is 961880

Least common multiple can be found by multiplying the highest exponent prime factors of 1384 and 1390. First we will calculate the prime factors of 1384 and 1390.

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 1390


2 1390
5 695
139 139
1

Prime factors of 1390 are 2, 5,139. Prime factorization of 1390 in exponential form is:

1390 = 21×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1384 and 1390.

LCM(1384,1390) = 23×51×1391×1731
LCM(1384,1390) = 961880

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 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1, 2, 5, 10, 139, 278, 695, 1390

Least Common Multiple of 1384 and 1390 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 1390, than apply into the LCM equation.

GCF(1384,1390) = 2
LCM(1384,1390) = ( 1384 × 1390) / 2
LCM(1384,1390) = 1923760 / 2
LCM(1384,1390) = 961880

Properties of LCM 1384 and 1390

(i) The LCM of 1390 and 1384 is associative

LCM of 1384 and 1390 = LCM of 1390 and 1384

Related Least Common Multiples of 1384

Related Least Common Multiples of 1390

Frequently Asked Questions on LCM of 1384 and 1390

1. What is the LCM of 1384 and 1390?

Answer: LCM of 1384 and 1390 is 961880.

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 1390?

Answer: Factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390. There are 8 integers that are factors of 1390. The greatest factor of 1390 is 1390.

4. How to Find the LCM of 1384 and 1390?

Answer:

Least Common Multiple of 1384 and 1390 = 961880

Step 1: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

Step 2: Find the prime factorization of 1390

1390 = 2 x 5 x 139

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

LCM = 961880 = 2 x 2 x 2 x 5 x 139 x 173

Step 4: Therefore, the least common multiple of 1384 and 1390 is 961880.