Least Common Multiple of 377 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 377 and 384 the smallest integer that is 144768 that is divisible by both numbers.

Least Common Multiple (LCM) of 377 and 384 is 144768.

LCM(377,384) = 144768

LCM of 377 and 384

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

LCM of:
and

Least Common Multiple of 377 and 384

LCM of 377 and 384 is 144768

Least common multiple can be found by multiplying the highest exponent prime factors of 377 and 384. First we will calculate the prime factors of 377 and 384.

Prime Factorization of 377


13 377
29 29
1

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 131×291

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 377 and 384.

LCM(377,384) = 27×31×131×291
LCM(377,384) = 144768

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1, 13, 29, 377

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 377 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 377 and 384, than apply into the LCM equation.

GCF(377,384) = 1
LCM(377,384) = ( 377 × 384) / 1
LCM(377,384) = 144768 / 1
LCM(377,384) = 144768

Properties of LCM 377 and 384

(i) The LCM of 384 and 377 is associative

LCM of 377 and 384 = LCM of 384 and 377

Related Least Common Multiples of 377

Related Least Common Multiples of 384

Frequently Asked Questions on LCM of 377 and 384

1. What is the LCM of 377 and 384?

Answer: LCM of 377 and 384 is 144768.

2. What are the Factors of 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

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 377 and 384?

Answer:

Least Common Multiple of 377 and 384 = 144768

Step 1: Find the prime factorization of 377

377 = 13 x 29

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 = 144768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 29

Step 4: Therefore, the least common multiple of 377 and 384 is 144768.