Least Common Multiple of 383 and 384

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 384 the smallest integer that is 147072 that is divisible by both numbers.

Least Common Multiple (LCM) of 383 and 384 is 147072.

LCM(383,384) = 147072

LCM of 383 and 384

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

LCM of:
and

Least Common Multiple of 383 and 384

LCM of 383 and 384 is 147072

Least common multiple can be found by multiplying the highest exponent prime factors of 383 and 384. First we will calculate the prime factors of 383 and 384.

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 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

Now multiplying the highest exponent prime factors to calculate the LCM of 383 and 384.

LCM(383,384) = 27×31×3831
LCM(383,384) = 147072

Factors of 383

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

1, 383

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Least Common Multiple of 383 and 384 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 384, than apply into the LCM equation.

GCF(383,384) = 1
LCM(383,384) = ( 383 × 384) / 1
LCM(383,384) = 147072 / 1
LCM(383,384) = 147072

Properties of LCM 383 and 384

(i) The LCM of 384 and 383 is associative

LCM of 383 and 384 = LCM of 384 and 383

Related Least Common Multiples of 383

Related Least Common Multiples of 384

Frequently Asked Questions on LCM of 383 and 384

1. What is the LCM of 383 and 384?

Answer: LCM of 383 and 384 is 147072.

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 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

4. How to Find the LCM of 383 and 384?

Answer:

Least Common Multiple of 383 and 384 = 147072

Step 1: Find the prime factorization of 383

383 = 383

Step 2: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 147072 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 383

Step 4: Therefore, the least common multiple of 383 and 384 is 147072.