Least Common Multiple of 1387 and 1392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1387 and 1392 the smallest integer that is 1930704 that is divisible by both numbers.

Least Common Multiple (LCM) of 1387 and 1392 is 1930704.

LCM(1387,1392) = 1930704

LCM of 1387 and 1392

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

LCM of:
and

Least Common Multiple of 1387 and 1392

LCM of 1387 and 1392 is 1930704

Least common multiple can be found by multiplying the highest exponent prime factors of 1387 and 1392. First we will calculate the prime factors of 1387 and 1392.

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

Prime Factorization of 1392


2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 1392 are 2, 3,29. Prime factorization of 1392 in exponential form is:

1392 = 24×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1387 and 1392.

LCM(1387,1392) = 24×31×191×291×731
LCM(1387,1392) = 1930704

Factors of 1387

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

1, 19, 73, 1387

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392

Least Common Multiple of 1387 and 1392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1387 and 1392, than apply into the LCM equation.

GCF(1387,1392) = 1
LCM(1387,1392) = ( 1387 × 1392) / 1
LCM(1387,1392) = 1930704 / 1
LCM(1387,1392) = 1930704

Properties of LCM 1387 and 1392

(i) The LCM of 1392 and 1387 is associative

LCM of 1387 and 1392 = LCM of 1392 and 1387

Related Least Common Multiples of 1387

Related Least Common Multiples of 1392

Frequently Asked Questions on LCM of 1387 and 1392

1. What is the LCM of 1387 and 1392?

Answer: LCM of 1387 and 1392 is 1930704.

2. 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.

3. What are the Factors of 1392?

Answer: Factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392. There are 20 integers that are factors of 1392. The greatest factor of 1392 is 1392.

4. How to Find the LCM of 1387 and 1392?

Answer:

Least Common Multiple of 1387 and 1392 = 1930704

Step 1: Find the prime factorization of 1387

1387 = 19 x 73

Step 2: Find the prime factorization of 1392

1392 = 2 x 2 x 2 x 2 x 3 x 29

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

LCM = 1930704 = 2 x 2 x 2 x 2 x 3 x 19 x 29 x 73

Step 4: Therefore, the least common multiple of 1387 and 1392 is 1930704.