Least Common Multiple of 383 and 385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 383 and 385 the smallest integer that is 147455 that is divisible by both numbers.

Least Common Multiple (LCM) of 383 and 385 is 147455.

LCM(383,385) = 147455

LCM of 383 and 385

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

LCM of:
and

Least Common Multiple of 383 and 385

LCM of 383 and 385 is 147455

Least common multiple can be found by multiplying the highest exponent prime factors of 383 and 385. First we will calculate the prime factors of 383 and 385.

Prime Factorization of 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 383 and 385.

LCM(383,385) = 51×71×111×3831
LCM(383,385) = 147455

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

Factors of 385

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

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

Least Common Multiple of 383 and 385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 383 and 385, than apply into the LCM equation.

GCF(383,385) = 1
LCM(383,385) = ( 383 × 385) / 1
LCM(383,385) = 147455 / 1
LCM(383,385) = 147455

Properties of LCM 383 and 385

(i) The LCM of 385 and 383 is associative

LCM of 383 and 385 = LCM of 385 and 383

Related Least Common Multiples of 383

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 383 and 385

1. What is the LCM of 383 and 385?

Answer: LCM of 383 and 385 is 147455.

2. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

3. 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.

4. How to Find the LCM of 383 and 385?

Answer:

Least Common Multiple of 383 and 385 = 147455

Step 1: Find the prime factorization of 383

383 = 383

Step 2: Find the prime factorization of 385

385 = 5 x 7 x 11

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

LCM = 147455 = 5 x 7 x 11 x 383

Step 4: Therefore, the least common multiple of 383 and 385 is 147455.