Least Common Multiple of 376 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 376 and 384 the smallest integer that is 18048 that is divisible by both numbers.

Least Common Multiple (LCM) of 376 and 384 is 18048.

LCM(376,384) = 18048

LCM of 376 and 384

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

LCM of:
and

Least Common Multiple of 376 and 384

LCM of 376 and 384 is 18048

Least common multiple can be found by multiplying the highest exponent prime factors of 376 and 384. First we will calculate the prime factors of 376 and 384.

Prime Factorization of 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

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 376 and 384.

LCM(376,384) = 27×31×471
LCM(376,384) = 18048

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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 376 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 376 and 384, than apply into the LCM equation.

GCF(376,384) = 8
LCM(376,384) = ( 376 × 384) / 8
LCM(376,384) = 144384 / 8
LCM(376,384) = 18048

Properties of LCM 376 and 384

(i) The LCM of 384 and 376 is associative

LCM of 376 and 384 = LCM of 384 and 376

Related Least Common Multiples of 376

Related Least Common Multiples of 384

Frequently Asked Questions on LCM of 376 and 384

1. What is the LCM of 376 and 384?

Answer: LCM of 376 and 384 is 18048.

2. What are the Factors of 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

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 376 and 384?

Answer:

Least Common Multiple of 376 and 384 = 18048

Step 1: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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 = 18048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 4: Therefore, the least common multiple of 376 and 384 is 18048.