Least Common Multiple of 1377 and 1384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1377 and 1384 the smallest integer that is 1905768 that is divisible by both numbers.

Least Common Multiple (LCM) of 1377 and 1384 is 1905768.

LCM(1377,1384) = 1905768

LCM of 1377 and 1384

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

LCM of:
and

Least Common Multiple of 1377 and 1384

LCM of 1377 and 1384 is 1905768

Least common multiple can be found by multiplying the highest exponent prime factors of 1377 and 1384. First we will calculate the prime factors of 1377 and 1384.

Prime Factorization of 1377


3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 1377 are 3,17. Prime factorization of 1377 in exponential form is:

1377 = 34×171

Prime Factorization of 1384


2 1384
2 692
2 346
173 173
1

Prime factors of 1384 are 2,173. Prime factorization of 1384 in exponential form is:

1384 = 23×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1377 and 1384.

LCM(1377,1384) = 23×34×171×1731
LCM(1377,1384) = 1905768

Factors of 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 459, 1377

Factors of 1384

List of positive integer factors of 1384 that divides 1384 without a remainder.

1, 2, 4, 8, 173, 346, 692, 1384

Least Common Multiple of 1377 and 1384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1377 and 1384, than apply into the LCM equation.

GCF(1377,1384) = 1
LCM(1377,1384) = ( 1377 × 1384) / 1
LCM(1377,1384) = 1905768 / 1
LCM(1377,1384) = 1905768

Properties of LCM 1377 and 1384

(i) The LCM of 1384 and 1377 is associative

LCM of 1377 and 1384 = LCM of 1384 and 1377

Related Least Common Multiples of 1377

Related Least Common Multiples of 1384

Frequently Asked Questions on LCM of 1377 and 1384

1. What is the LCM of 1377 and 1384?

Answer: LCM of 1377 and 1384 is 1905768.

2. What are the Factors of 1377?

Answer: Factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377. There are 10 integers that are factors of 1377. The greatest factor of 1377 is 1377.

3. What are the Factors of 1384?

Answer: Factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384. There are 8 integers that are factors of 1384. The greatest factor of 1384 is 1384.

4. How to Find the LCM of 1377 and 1384?

Answer:

Least Common Multiple of 1377 and 1384 = 1905768

Step 1: Find the prime factorization of 1377

1377 = 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

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

LCM = 1905768 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 173

Step 4: Therefore, the least common multiple of 1377 and 1384 is 1905768.