Least Common Multiple of 1385 and 1393

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 1393 the smallest integer that is 1929305 that is divisible by both numbers.

Least Common Multiple (LCM) of 1385 and 1393 is 1929305.

LCM(1385,1393) = 1929305

LCM of 1385 and 1393

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

LCM of:
and

Least Common Multiple of 1385 and 1393

LCM of 1385 and 1393 is 1929305

Least common multiple can be found by multiplying the highest exponent prime factors of 1385 and 1393. First we will calculate the prime factors of 1385 and 1393.

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 1393


7 1393
199 199
1

Prime factors of 1393 are 7,199. Prime factorization of 1393 in exponential form is:

1393 = 71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1385 and 1393.

LCM(1385,1393) = 51×71×1991×2771
LCM(1385,1393) = 1929305

Factors of 1385

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

1, 5, 277, 1385

Factors of 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1, 7, 199, 1393

Least Common Multiple of 1385 and 1393 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 1393, than apply into the LCM equation.

GCF(1385,1393) = 1
LCM(1385,1393) = ( 1385 × 1393) / 1
LCM(1385,1393) = 1929305 / 1
LCM(1385,1393) = 1929305

Properties of LCM 1385 and 1393

(i) The LCM of 1393 and 1385 is associative

LCM of 1385 and 1393 = LCM of 1393 and 1385

Related Least Common Multiples of 1385

Related Least Common Multiples of 1393

Frequently Asked Questions on LCM of 1385 and 1393

1. What is the LCM of 1385 and 1393?

Answer: LCM of 1385 and 1393 is 1929305.

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 1393?

Answer: Factors of 1393 are 1, 7, 199, 1393. There are 4 integers that are factors of 1393. The greatest factor of 1393 is 1393.

4. How to Find the LCM of 1385 and 1393?

Answer:

Least Common Multiple of 1385 and 1393 = 1929305

Step 1: Find the prime factorization of 1385

1385 = 5 x 277

Step 2: Find the prime factorization of 1393

1393 = 7 x 199

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

LCM = 1929305 = 5 x 7 x 199 x 277

Step 4: Therefore, the least common multiple of 1385 and 1393 is 1929305.