Least Common Multiple of 385 and 389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 385 and 389 the smallest integer that is 149765 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 389 is 149765.

LCM(385,389) = 149765

LCM of 385 and 389

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

LCM of:
and

Least Common Multiple of 385 and 389

LCM of 385 and 389 is 149765

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 389. First we will calculate the prime factors of 385 and 389.

Prime Factorization of 385


5 385
7 77
11 11
1

Prime factors of 385 are 5, 7,11. Prime factorization of 385 in exponential form is:

385 = 51×71×111

Prime Factorization of 389


389 389
1

Prime factors of 389 are 389. Prime factorization of 389 in exponential form is:

389 = 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 389.

LCM(385,389) = 51×71×111×3891
LCM(385,389) = 149765

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1, 389

Least Common Multiple of 385 and 389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 389, than apply into the LCM equation.

GCF(385,389) = 1
LCM(385,389) = ( 385 × 389) / 1
LCM(385,389) = 149765 / 1
LCM(385,389) = 149765

Properties of LCM 385 and 389

(i) The LCM of 389 and 385 is associative

LCM of 385 and 389 = LCM of 389 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 389

Frequently Asked Questions on LCM of 385 and 389

1. What is the LCM of 385 and 389?

Answer: LCM of 385 and 389 is 149765.

2. What are the Factors of 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

3. What are the Factors of 389?

Answer: Factors of 389 are 1, 389. There are 2 integers that are factors of 389. The greatest factor of 389 is 389.

4. How to Find the LCM of 385 and 389?

Answer:

Least Common Multiple of 385 and 389 = 149765

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 389

389 = 389

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

LCM = 149765 = 5 x 7 x 11 x 389

Step 4: Therefore, the least common multiple of 385 and 389 is 149765.