Least Common Multiple of 13383 and 13387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13383 and 13387 the smallest integer that is 179158221 that is divisible by both numbers.

Least Common Multiple (LCM) of 13383 and 13387 is 179158221.

LCM(13383,13387) = 179158221

LCM of 13383 and 13387

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

LCM of:
and

Least Common Multiple of 13383 and 13387

LCM of 13383 and 13387 is 179158221

Least common multiple can be found by multiplying the highest exponent prime factors of 13383 and 13387. First we will calculate the prime factors of 13383 and 13387.

Prime Factorization of 13383


3 13383
3 4461
1487 1487
1

Prime factors of 13383 are 3,1487. Prime factorization of 13383 in exponential form is:

13383 = 32×14871

Prime Factorization of 13387


11 13387
1217 1217
1

Prime factors of 13387 are 11,1217. Prime factorization of 13387 in exponential form is:

13387 = 111×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 13383 and 13387.

LCM(13383,13387) = 32×111×12171×14871
LCM(13383,13387) = 179158221

Factors of 13383

List of positive integer factors of 13383 that divides 13383 without a remainder.

1, 3, 9, 1487, 4461, 13383

Factors of 13387

List of positive integer factors of 13387 that divides 13387 without a remainder.

1, 11, 1217, 13387

Least Common Multiple of 13383 and 13387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13383 and 13387, than apply into the LCM equation.

GCF(13383,13387) = 1
LCM(13383,13387) = ( 13383 × 13387) / 1
LCM(13383,13387) = 179158221 / 1
LCM(13383,13387) = 179158221

Properties of LCM 13383 and 13387

(i) The LCM of 13387 and 13383 is associative

LCM of 13383 and 13387 = LCM of 13387 and 13383

Related Least Common Multiples of 13383

Related Least Common Multiples of 13387

Frequently Asked Questions on LCM of 13383 and 13387

1. What is the LCM of 13383 and 13387?

Answer: LCM of 13383 and 13387 is 179158221.

2. What are the Factors of 13383?

Answer: Factors of 13383 are 1, 3, 9, 1487, 4461, 13383. There are 6 integers that are factors of 13383. The greatest factor of 13383 is 13383.

3. What are the Factors of 13387?

Answer: Factors of 13387 are 1, 11, 1217, 13387. There are 4 integers that are factors of 13387. The greatest factor of 13387 is 13387.

4. How to Find the LCM of 13383 and 13387?

Answer:

Least Common Multiple of 13383 and 13387 = 179158221

Step 1: Find the prime factorization of 13383

13383 = 3 x 3 x 1487

Step 2: Find the prime factorization of 13387

13387 = 11 x 1217

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

LCM = 179158221 = 3 x 3 x 11 x 1217 x 1487

Step 4: Therefore, the least common multiple of 13383 and 13387 is 179158221.