Least Common Multiple of 1381 and 1387

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 1387 the smallest integer that is 1915447 that is divisible by both numbers.

Least Common Multiple (LCM) of 1381 and 1387 is 1915447.

LCM(1381,1387) = 1915447

LCM of 1381 and 1387

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

LCM of:
and

Least Common Multiple of 1381 and 1387

LCM of 1381 and 1387 is 1915447

Least common multiple can be found by multiplying the highest exponent prime factors of 1381 and 1387. First we will calculate the prime factors of 1381 and 1387.

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 1387


19 1387
73 73
1

Prime factors of 1387 are 19,73. Prime factorization of 1387 in exponential form is:

1387 = 191×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1381 and 1387.

LCM(1381,1387) = 191×731×13811
LCM(1381,1387) = 1915447

Factors of 1381

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

1, 1381

Factors of 1387

List of positive integer factors of 1387 that divides 1387 without a remainder.

1, 19, 73, 1387

Least Common Multiple of 1381 and 1387 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 1387, than apply into the LCM equation.

GCF(1381,1387) = 1
LCM(1381,1387) = ( 1381 × 1387) / 1
LCM(1381,1387) = 1915447 / 1
LCM(1381,1387) = 1915447

Properties of LCM 1381 and 1387

(i) The LCM of 1387 and 1381 is associative

LCM of 1381 and 1387 = LCM of 1387 and 1381

Related Least Common Multiples of 1381

Related Least Common Multiples of 1387

Frequently Asked Questions on LCM of 1381 and 1387

1. What is the LCM of 1381 and 1387?

Answer: LCM of 1381 and 1387 is 1915447.

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 1387?

Answer: Factors of 1387 are 1, 19, 73, 1387. There are 4 integers that are factors of 1387. The greatest factor of 1387 is 1387.

4. How to Find the LCM of 1381 and 1387?

Answer:

Least Common Multiple of 1381 and 1387 = 1915447

Step 1: Find the prime factorization of 1381

1381 = 1381

Step 2: Find the prime factorization of 1387

1387 = 19 x 73

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

LCM = 1915447 = 19 x 73 x 1381

Step 4: Therefore, the least common multiple of 1381 and 1387 is 1915447.