Least Common Multiple of 381 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 381 and 385 the smallest integer that is 146685 that is divisible by both numbers.

Least Common Multiple (LCM) of 381 and 385 is 146685.

LCM(381,385) = 146685

LCM of 381 and 385

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

LCM of:
and

Least Common Multiple of 381 and 385

LCM of 381 and 385 is 146685

Least common multiple can be found by multiplying the highest exponent prime factors of 381 and 385. First we will calculate the prime factors of 381 and 385.

Prime Factorization of 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

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 381 and 385.

LCM(381,385) = 31×51×71×111×1271
LCM(381,385) = 146685

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1, 3, 127, 381

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 381 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 381 and 385, than apply into the LCM equation.

GCF(381,385) = 1
LCM(381,385) = ( 381 × 385) / 1
LCM(381,385) = 146685 / 1
LCM(381,385) = 146685

Properties of LCM 381 and 385

(i) The LCM of 385 and 381 is associative

LCM of 381 and 385 = LCM of 385 and 381

Related Least Common Multiples of 381

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 381 and 385

1. What is the LCM of 381 and 385?

Answer: LCM of 381 and 385 is 146685.

2. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

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 381 and 385?

Answer:

Least Common Multiple of 381 and 385 = 146685

Step 1: Find the prime factorization of 381

381 = 3 x 127

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 = 146685 = 3 x 5 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 381 and 385 is 146685.