Least Common Multiple of 1390 and 1395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1390 and 1395 the smallest integer that is 387810 that is divisible by both numbers.

Least Common Multiple (LCM) of 1390 and 1395 is 387810.

LCM(1390,1395) = 387810

LCM of 1390 and 1395

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

LCM of:
and

Least Common Multiple of 1390 and 1395

LCM of 1390 and 1395 is 387810

Least common multiple can be found by multiplying the highest exponent prime factors of 1390 and 1395. First we will calculate the prime factors of 1390 and 1395.

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

Prime Factorization of 1395


3 1395
3 465
5 155
31 31
1

Prime factors of 1395 are 3, 5,31. Prime factorization of 1395 in exponential form is:

1395 = 32×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1390 and 1395.

LCM(1390,1395) = 21×32×51×311×1391
LCM(1390,1395) = 387810

Factors of 1390

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

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

Factors of 1395

List of positive integer factors of 1395 that divides 1395 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395

Least Common Multiple of 1390 and 1395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1390 and 1395, than apply into the LCM equation.

GCF(1390,1395) = 5
LCM(1390,1395) = ( 1390 × 1395) / 5
LCM(1390,1395) = 1939050 / 5
LCM(1390,1395) = 387810

Properties of LCM 1390 and 1395

(i) The LCM of 1395 and 1390 is associative

LCM of 1390 and 1395 = LCM of 1395 and 1390

Related Least Common Multiples of 1390

Related Least Common Multiples of 1395

Frequently Asked Questions on LCM of 1390 and 1395

1. What is the LCM of 1390 and 1395?

Answer: LCM of 1390 and 1395 is 387810.

2. 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.

3. What are the Factors of 1395?

Answer: Factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395. There are 12 integers that are factors of 1395. The greatest factor of 1395 is 1395.

4. How to Find the LCM of 1390 and 1395?

Answer:

Least Common Multiple of 1390 and 1395 = 387810

Step 1: Find the prime factorization of 1390

1390 = 2 x 5 x 139

Step 2: Find the prime factorization of 1395

1395 = 3 x 3 x 5 x 31

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

LCM = 387810 = 2 x 3 x 3 x 5 x 31 x 139

Step 4: Therefore, the least common multiple of 1390 and 1395 is 387810.