Least Common Multiple of 1385 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 1385 and 1390 the smallest integer that is 385030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1385 and 1390 is 385030.

LCM(1385,1390) = 385030

LCM of 1385 and 1390

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

LCM of:
and

Least Common Multiple of 1385 and 1390

LCM of 1385 and 1390 is 385030

Least common multiple can be found by multiplying the highest exponent prime factors of 1385 and 1390. First we will calculate the prime factors of 1385 and 1390.

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 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 1385 and 1390.

LCM(1385,1390) = 21×51×1391×2771
LCM(1385,1390) = 385030

Factors of 1385

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

1, 5, 277, 1385

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 1385 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 1385 and 1390, than apply into the LCM equation.

GCF(1385,1390) = 5
LCM(1385,1390) = ( 1385 × 1390) / 5
LCM(1385,1390) = 1925150 / 5
LCM(1385,1390) = 385030

Properties of LCM 1385 and 1390

(i) The LCM of 1390 and 1385 is associative

LCM of 1385 and 1390 = LCM of 1390 and 1385

Related Least Common Multiples of 1385

Related Least Common Multiples of 1390

Frequently Asked Questions on LCM of 1385 and 1390

1. What is the LCM of 1385 and 1390?

Answer: LCM of 1385 and 1390 is 385030.

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 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 1385 and 1390?

Answer:

Least Common Multiple of 1385 and 1390 = 385030

Step 1: Find the prime factorization of 1385

1385 = 5 x 277

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 = 385030 = 2 x 5 x 139 x 277

Step 4: Therefore, the least common multiple of 1385 and 1390 is 385030.