Least Common Multiple of 382 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 382 and 385 the smallest integer that is 147070 that is divisible by both numbers.

Least Common Multiple (LCM) of 382 and 385 is 147070.

LCM(382,385) = 147070

LCM of 382 and 385

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

LCM of:
and

Least Common Multiple of 382 and 385

LCM of 382 and 385 is 147070

Least common multiple can be found by multiplying the highest exponent prime factors of 382 and 385. First we will calculate the prime factors of 382 and 385.

Prime Factorization of 382


2 382
191 191
1

Prime factors of 382 are 2,191. Prime factorization of 382 in exponential form is:

382 = 21×1911

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 382 and 385.

LCM(382,385) = 21×51×71×111×1911
LCM(382,385) = 147070

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1, 2, 191, 382

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 382 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 382 and 385, than apply into the LCM equation.

GCF(382,385) = 1
LCM(382,385) = ( 382 × 385) / 1
LCM(382,385) = 147070 / 1
LCM(382,385) = 147070

Properties of LCM 382 and 385

(i) The LCM of 385 and 382 is associative

LCM of 382 and 385 = LCM of 385 and 382

Related Least Common Multiples of 382

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 382 and 385

1. What is the LCM of 382 and 385?

Answer: LCM of 382 and 385 is 147070.

2. What are the Factors of 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

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 382 and 385?

Answer:

Least Common Multiple of 382 and 385 = 147070

Step 1: Find the prime factorization of 382

382 = 2 x 191

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 = 147070 = 2 x 5 x 7 x 11 x 191

Step 4: Therefore, the least common multiple of 382 and 385 is 147070.