Least Common Multiple of 385 and 391

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 391 the smallest integer that is 150535 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 391 is 150535.

LCM(385,391) = 150535

LCM of 385 and 391

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

LCM of:
and

Least Common Multiple of 385 and 391

LCM of 385 and 391 is 150535

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 391. First we will calculate the prime factors of 385 and 391.

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 391


17 391
23 23
1

Prime factors of 391 are 17,23. Prime factorization of 391 in exponential form is:

391 = 171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 391.

LCM(385,391) = 51×71×111×171×231
LCM(385,391) = 150535

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 391

List of positive integer factors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Least Common Multiple of 385 and 391 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 391, than apply into the LCM equation.

GCF(385,391) = 1
LCM(385,391) = ( 385 × 391) / 1
LCM(385,391) = 150535 / 1
LCM(385,391) = 150535

Properties of LCM 385 and 391

(i) The LCM of 391 and 385 is associative

LCM of 385 and 391 = LCM of 391 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 391

Frequently Asked Questions on LCM of 385 and 391

1. What is the LCM of 385 and 391?

Answer: LCM of 385 and 391 is 150535.

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 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

4. How to Find the LCM of 385 and 391?

Answer:

Least Common Multiple of 385 and 391 = 150535

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 391

391 = 17 x 23

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

LCM = 150535 = 5 x 7 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 385 and 391 is 150535.