Least Common Multiple of 1381 and 1388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1381 and 1388 the smallest integer that is 1916828 that is divisible by both numbers.

Least Common Multiple (LCM) of 1381 and 1388 is 1916828.

LCM(1381,1388) = 1916828

LCM of 1381 and 1388

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

LCM of:
and

Least Common Multiple of 1381 and 1388

LCM of 1381 and 1388 is 1916828

Least common multiple can be found by multiplying the highest exponent prime factors of 1381 and 1388. First we will calculate the prime factors of 1381 and 1388.

Prime Factorization of 1381


1381 1381
1

Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:

1381 = 13811

Prime Factorization of 1388


2 1388
2 694
347 347
1

Prime factors of 1388 are 2,347. Prime factorization of 1388 in exponential form is:

1388 = 22×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1381 and 1388.

LCM(1381,1388) = 22×3471×13811
LCM(1381,1388) = 1916828

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1, 1381

Factors of 1388

List of positive integer factors of 1388 that divides 1388 without a remainder.

1, 2, 4, 347, 694, 1388

Least Common Multiple of 1381 and 1388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1381 and 1388, than apply into the LCM equation.

GCF(1381,1388) = 1
LCM(1381,1388) = ( 1381 × 1388) / 1
LCM(1381,1388) = 1916828 / 1
LCM(1381,1388) = 1916828

Properties of LCM 1381 and 1388

(i) The LCM of 1388 and 1381 is associative

LCM of 1381 and 1388 = LCM of 1388 and 1381

Related Least Common Multiples of 1381

Related Least Common Multiples of 1388

Frequently Asked Questions on LCM of 1381 and 1388

1. What is the LCM of 1381 and 1388?

Answer: LCM of 1381 and 1388 is 1916828.

2. What are the Factors of 1381?

Answer: Factors of 1381 are 1, 1381. There are 2 integers that are factors of 1381. The greatest factor of 1381 is 1381.

3. What are the Factors of 1388?

Answer: Factors of 1388 are 1, 2, 4, 347, 694, 1388. There are 6 integers that are factors of 1388. The greatest factor of 1388 is 1388.

4. How to Find the LCM of 1381 and 1388?

Answer:

Least Common Multiple of 1381 and 1388 = 1916828

Step 1: Find the prime factorization of 1381

1381 = 1381

Step 2: Find the prime factorization of 1388

1388 = 2 x 2 x 347

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

LCM = 1916828 = 2 x 2 x 347 x 1381

Step 4: Therefore, the least common multiple of 1381 and 1388 is 1916828.